Sin cosine tangent calculator
Author: c | 2025-04-24
sine cosine tangent calculator Sin, cos tan calculator sin, cos tan calculator triangle Cosine calculator Tangent angle calculator Trigonometry calculator Sin cos tan Chart Sohcahtoa 🙋 To know how to calculate or evaluate the sine, cosine, and tangent functions, Sine cosine tangent calculator; Tangent ratio calculator; and; Tangent angle calculator. FAQs. Remember that sin(45 ) = 1/√2 and input
โปรแกรมคำนวณหาค่า sin cos tan (Sine Cosine Tangent Calculator
This tool helps you calculate trigonometric values like sine, cosine, and tangent for any given angle.How to Use the Trigonometry CalculatorTo use this trigonometry calculator, simply enter an angle in degrees into the input field and click the “Calculate” button. The calculator will then display the sine, cosine, tangent, secant, cosecant, and cotangent values for the given angle. The values are rounded to six decimal places for precision.Explanation of CalculationsThis calculator performs the following trigonometric calculations:Sine (sin): sin(angle) = opposite/hypotenuseCosine (cos): cos(angle) = adjacent/hypotenuseTangent (tan): tan(angle) = opposite/adjacentSecant (sec): sec(angle) = 1/cos(angle)Cosecant (cosec): cosec(angle) = 1/sin(angle)Cotangent (cot): cot(angle) = 1/tan(angle)LimitationsPlease note that secant, cosecant, and cotangent values are marked as “undefined” for angles where they do not have valid values (e.g., sec(90°), cosec(0°), cot(0°)). This is because there are points where the cosine, sine, and tangent functions respectively have values of zero, which would cause a division by zero error. Always ensure the input is a valid number.Use Cases for This CalculatorCalculate Angles in Triangle ProblemsWhen faced with a triangle problem, you often need to find missing angles. By inputting the lengths of the sides, you can use the trigonometry calculator to easily derive the angles using the sine, cosine, or tangent functions, streamlining your problem-solving process.This not only saves time but also ensures accuracy in your calculations, allowing you to focus on higher-level concepts instead of getting bogged down in manual math.Determine Heights and DistancesIn fields like architecture or physics, you frequently need to measure heights and distances that are difficult to obtain directly. By leveraging the sine or cosine of an angle, you can input the known values into the calculator to find these measurements efficiently.This practical application turns complex real-world scenarios into manageable calculations, enhancing your ability to derive meaningful insights from your data.Analyze Waves and OscillationsIf
sine cosine tangent calculator - recipepes.com
Inverse functions: the square root, cube root, yth root, natural logarithm, and logarithm.To access additional functions (such as yx or powers of 2), tap the “2nd” key near the top left.Use trigonometric and hyperbolic functionsGo to the Calculator app on your iPad.Tap , then tap Scientific.Find any of the following:Sine: Tap sin, enter a number, then tap =.Cosine: Tap cos, enter a number, then tap =.Tangent: Tap tan, enter a number, then tap =.Hyperbolic sine: Tap sinh, enter a number, then tap =.Hyperbolic cosine: Tap cosh, enter a number, then tap =.Hyperbolic tangent: Tap tanh, enter a number, then tap =.To access the inverse of these functions (such as arcsine or arctangent), tap the “2nd” key near the top left.Use radians or degreesThe scientific calculator uses degrees by default.Go to the Calculator app on your iPad.Tap , then tap Scientific.Tap Rad to switch to radians.When you’re using radians instead of degrees, the label Rad appears in the lower left of the display, and the Rad key becomes Deg.To switch back to degrees, tap the Deg key.When you hold your iPad vertically (in portrait mode), the Rad/Deg key is just above the ÷ key. When you hold it horizontally (in landscape mode), the Rad/Deg key is near the bottom center.Generate a random number between 0 and 1Go to the Calculator app on your iPad.Tap , then tap Scientific.Tap Rand.When you hold your iPad vertically (in portrait mode), the Rand key is just above the AC key. When you hold it horizontallySine, Cosine, Tangent Calculator - EndMemo
Type in your sum to see how to solve it step by step. Examples: 2+3*4 or 3/4*3 images/operations.js Description Just type in sums like these (see Order of Operations for more detail): Examples: 1+2*3 7 + (6 * 5^2 + 3) cos(1.2^2)+3 (5−3)(5+3) ( −6 + √(6²−4×5×1) ) / (2×5) sqrt(3^2+4^2) You will see what the calculator thinks you entered (which may be a little different to what you typed), and then a step-by-step solution. Note: there can be more than one way to find a solution. The calculator is still under development and may get things wrong, so be careful! Tree View Press the "tree" button to see your sum as a tree. You would do the calculations from the top down ... sometimes you have a choice which calculation to do first. All Functions Operators +Addition operator-Subtraction operator*Multiplication operator/Division operator^()Parentheses (brackets) Functions sqrt sin cosCosinetanTangentasin acosInverse cosine (arccos)atanInverse tangent (arctangent)sinh coshHyperbolic cosinetanhHyperbolic tangentln logThe base-10 logarithmabs deg radConvert degrees to radianssign+1 for 0 or greater, otherwise −1roundround to nearest integer largest integer not greater than the input value smallest integer (towards negative infinity) not less than the input valuefact Constants. sine cosine tangent calculator Sin, cos tan calculator sin, cos tan calculator triangle Cosine calculator Tangent angle calculator Trigonometry calculator Sin cos tan Chart Sohcahtoa 🙋 To know how to calculate or evaluate the sine, cosine, and tangent functions, Sine cosine tangent calculator; Tangent ratio calculator; and; Tangent angle calculator. FAQs. Remember that sin(45 ) = 1/√2 and inputSine Cosine Tangent Calculator - Om Calculator
Scientific Calculator Created Using Visual BasicThis is a calculator that resembles a typical scientific calculator , albeit a simpler version. In our version, we have only included the trigonometric functions and the logarithmic functions. The reason of creating a simpler version of the calculator is to help users to learn the programming concepts in a gradual manner and not to confuse them especially those who are learning to program in Visual Basic.To design the interface, we just to need to modify the interface of the basic calculator that we have created earlier using Visual Basic 6. In this calculator, we have added five more buttons, they are Sin, Cos, Tan, Log and Ln. The common trigonometric functions in Visual Basic 6 are Sin, Cos, Tan and Atn.a) Sin is the function that computes the value of sine of an angle in radian.b) Cos is the function that computes the value of cosine of an angle in radian.c) Tan is the function that computes the value of tangent of an angle in radian.d) Atn is the function that computes the value of arc tangent of an angle in radian.Log computes the value of logarithm to base 10 whilst Ln computes the value of natural logarithm.An angle in degree has to be converted to radian before it can be calculated by the above trigonometric functions. From high school mathematics, we know that π radian is equivalent to 180°; which means 1 radian is equivalent to π divided by 180. Therefore, in orderCalculate Sine, Cosine, and Tangent Without a Calculator
SOHCAHTOA is an essential mnemonic when you start learning trig, whether you're trying to find the opposite leg, the adjacent leg or the measures of a triangle's acute angles. zizou7 / Shutterstock The mnemonic device SOHCAHTOA helps budding mathematicians remember the trigonometric functions sine (sin), cosine (cos) and tangent (tan), which they need to solve for triangles' missing sides and angles. But to really understand how this memory tool is useful, it's necessary to first refresh yourself on the basics of right-angled triangles, which are the main focus in trigonometry. Contents What Are Right Triangles? Trigonometric Functions and Ratios Using the Trigonometric Ratios Using the Inverse Trigonometric Ratios Pythagorean Theorem Solving for Missing Sides and Angles Trigonometric Identities Real-life Applications What Are Right Triangles? A right-angled triangle, also known as a right triangle, has one angle that is exactly 90 degrees. The side opposite this right angle is the longest side, called the hypotenuse. The other two sides are referred to as the opposite side and the adjacent side, depending on their relationship to the angle being measured or referenced. Trigonometric Functions and Ratios Mathematicians need a way to solve for and relate the angles of a triangle to the length of its sides. To do this, they use the fundamental math functions called trigonometric functions, which have applications across science, engineering and everyday life. Defined based on the ratios of the side lengths in a right-angled triangle, the trigonometric functions are: Sine (sin θ): The ratio of the length of the opposite side to the hypotenuse (O/H).Cosine (cos θ): The ratio of the length of the adjacent side to the hypotenuse (A/H).Tangent (tan θ): The ratio of the length of the opposite side to the adjacent side (O/A). These ratios depend on the angle θ, an acute angle (less than 90 degrees) in the triangle. What Does SOHCAHTOA Stand for? Here’s how the mnemonic device SOHCAHTOA helps mathematicians and math students remember the trigonometric functions and ratios. SOH: Sine = Opposite / HypotenuseCAH: Cosine = Adjacent / HypotenuseTOA: Tangent = Opposite / Adjacent Using the Trigonometric Ratios Mathematicians have to calculate the unknown side lengths or angles in a right triangle all the time. To do this, they apply the trigonometric functions. For example, if you know the value of angle θ, you can find the two sides of a right-angled triangle. Trigonometric Function Example Suppose you have a right triangle with: Angle θ = 30 degreesAdjacent side = a = 5 You want to find the length of the opposite side b. The tangent of an angle in a right-angled triangle is the ratio of the length of the opposite side to the length of the adjacent side, so: tan(θ) = opposite/adjacent You know that: θ = 30Adjacent side a = 5 So, using the tangent function looks like this: You know from trigonometric tables or by using a calculator that: So: Now, to find b: The length of the opposite side b is approximately 2.885 units. UsingSine Cosine Tangent Calculator - Free Trigonometry Calculator
Degrees and radians are different units for measuring angles. Degrees range from 0° to 360° for a full circle, while radians range from 0 to 2π. To convert degrees to radians, multiply by π/180. To convert radians to degrees, multiply by 180/π. Inverse trigonometric functions (arcsin, arccos, arctan) find the angle when you know the ratio. For example, if sin(θ) = 0.5, then arcsin(0.5) = 30° or π/6 radians. These functions are useful in many geometric and physics calculations. Tangent becomes undefined at 90° (π/2 radians) and its multiples because it involves division by zero at these points. Also, inverse sine and cosine are only defined for inputs between -1 and 1, as these functions represent ratios that cannot exceed 1 in magnitude. Our calculator uses JavaScript's built-in Math functions for calculations, providing results with high precision (up to 6 decimal places). For special angles (like 30°, 45°, 60°), the results are exact values when possible.Free sine, cosine, tangent calculator - Mathepower
String, returns an array containing the original string.$strLenBytesReturns the number of UTF-8 encoded bytes in a string.$strLenCPReturns the number of UTF-8 code points in a string.$strcasecmpPerforms case-insensitive string comparison and returns:0 if two strings are equivalent, 1 if the firststring is greater than the second, and -1 if the firststring is less than the second.$substrDeprecated. Use $substrBytes or$substrCP.$substrBytesReturns the substring of a string. Starts with the characterat the specified UTF-8 byte index (zero-based) in the stringand continues for the specified number of bytes.$substrCPReturns the substring of a string. Starts with the characterat the specified UTF-8 code point (CP) index(zero-based) in the string and continues for the number ofcode points specified.$toLowerConverts a string to lowercase. Accepts a single argumentexpression.$toStringConverts value to a string.New in version 4.0.$trimRemoves whitespace or the specified characters from thebeginning and end of a string.New in version 4.0.$toUpperConverts a string to uppercase. Accepts a single argumentexpression.NameDescription$metaAccess available per-document metadata related to theaggregation operation.Trigonometry expressions perform trigonometric operations on numbers.Values that represent angles are always input or output in radians. Use$degreesToRadians and $radiansToDegrees toconvert between degree and radian measurements.NameDescription$sinReturns the sine of a value that is measured in radians.$cosReturns the cosine of a value that is measured in radians.$tanReturns the tangent of a value that is measured in radians.$asinReturns the inverse sin (arc sine) of a value in radians.$acosReturns the inverse cosine (arc cosine) of a value in radians.$atanReturns the inverse tangent (arc tangent) of a value inradians.$atan2Returns the inverse tangent (arc tangent) of y / x inradians, where y and x are the first and secondvalues passed to the expression respectively.$asinhReturns the inverse hyperbolic sine (hyperbolic arc sine) of avalue in radians.$acoshReturns the inverse hyperbolic cosine (hyperbolic arc cosine)of a value in radians.$atanhReturns the inverse hyperbolic tangent (hyperbolic arctangent) of a value in radians.$sinhReturns the hyperbolic sine of. sine cosine tangent calculator Sin, cos tan calculator sin, cos tan calculator triangle Cosine calculator Tangent angle calculator Trigonometry calculator Sin cos tan Chart Sohcahtoa 🙋 To know how to calculate or evaluate the sine, cosine, and tangent functions, Sine cosine tangent calculator; Tangent ratio calculator; and; Tangent angle calculator. FAQs. Remember that sin(45 ) = 1/√2 and input
Solution : Calculating Sine, Cosine, and Tangent on the TI
Guess one of the other three answer choices!You probably know SOH-CAH-TOA for sine, cosine, and tangent, which of course is absolutely necessary knowledge for the trigonometry questions on the SAT. The next piece of advanced knowledge about trigonometry that the SAT loves to test is the following set of rules:You must know these rules to be able to solve advanced SAT trigonometry questions!Here is another way to think about these rules:In a right triangle, there are always two smaller angles . The sine of one angle = the cosine of the other angle.The cosine of one angle = the sine of the other angle.If you understand SOH-CAH-TOA and right triangles, this is logical: From SOH and CAH, you can see that the only difference between the sine and the cosine is that the sine has the Opposite side length in the numerator and the cosine has the Adjacent side length in the numerator. Well, in a right triangle, when you switch from one of the smaller angles to the other one, you are swapping which side is Opposite and which side is Adjacent! (The Hypotenuse always remains the same side.) Based on SOH and CAH, swapping the Opposite and Adjacent sides means the same thing as swapping the sine and cosine values of the angles.Getting back to this specific question, and have to be the two smaller angles of the right triangle. Therefore, based on the rules explained above, and .Therefore, . Thus the correct answer choice is 0. [Note: The following question could appear on the With Calculator section, so the student can use a calculator to answer it.]Two acute angles have measures and , and . If and , what is the value of ? Correct answer: Explanation: You probably know SOH-CAH-TOA for sine, cosine, and tangent, which of course is absolutely necessary knowledge for the trigonometry questions on the SAT. The next piece of advanced knowledge about trigonometry that the SAT loves to test is the following set of rules:You must know these rules to be able to solve advanced SAT trigonometry questions!Here is another way toScience Addicted Sine, Cosine, Tangent Calculator
Find the angle in degrees or radians using the inverse tangent with the arctan calculator below. On this page: Calculator How to Find Arctan Inverse Tangent Formula Inverse Tangent Graph Inverse Tangent Table How to use inverse tangent to find an angle in a right triangle How to convert an inverse tangent to an inverse sine Frequently Asked Questions How to Find ArctanArctan is a trigonometric function to calculate the inverse tangent. Arctan can also be expressed as tan-1(x).Arctan is used to undo or reverse the tangent function. If you know the tangent of an angle, you can use arctan to calculate the measurement of an angle.Since arctan is the inverse of the tangent function, and many angles share the same tangent value, arctan is a periodic function. Each arctan value can result in multiple angle values, which is why the range is restricted to [-π/2, π/2].To calculate arctan, use a scientific calculator and the atan or tan-1 function, or just use the calculator above. Most scientific calculators require the angle value in radians to solve for tan.Inverse Tangent FormulaThe inverse tangent formula is:y = tan(x) | x = arctan(y)Thus, if y is equal to the tangent of x, then x is equal to the arctan of y.Inverse Tangent GraphIf you graph the arctan function for every possible value of tangent, it forms an increasing curve over all real numbers from (-∞, –π / 2) to (∞, π / 2). Horizontal asymptotes occur at y = –π/2 and y = π/2, which coincide with the values of the vertical asymptotes of the tangent function.Inverse Tangent TableThe table below shows common tangent values and the arctan, or angle for each of them.Table showing common tangent values and inverse tangent values for each in degrees and radians.TangentAngle (degrees)Angle (radians)-∞-90°–π / 2-√3-60°–π / 3-1-45°–π / 4–√3 / 3-30°–π / 600°0√3 / 330°π / 6145°π / 4√360°π / 3∞90°π / 2You might also be interested in our inverse sine and inverse cosine calculators.How to use inverse tangent to find an angle in a right triangleYou can find the angle in a right triangle by finding the arctangent.Begin by identifying and labeling the hypotenuse, opposite side, and adjacent side in regards to the angle you want to find.Use the equation y = arctan(opposite/adjacent) and evaluate to find the angle in radians.If the opposite and adjacent sides are known, you can find the value of y directly and round the answer to the nearest degree or decimal place.If the opposite side and adjacent are not known, you can use the Pythagorean theorem to find the missing side lengths before using the above formula.How to convert an inverse tangent to an inverse sineTo convert an inverse tangent. sine cosine tangent calculator Sin, cos tan calculator sin, cos tan calculator triangle Cosine calculator Tangent angle calculator Trigonometry calculator Sin cos tan Chart SohcahtoaCalculating sine, cosine, and tangent - Carleton College
Leaves you with . In the triangle below, the tangent of is . What is the tangent of ? Possible Answers: The information cannot be determined. Correct answer: Explanation: In this example, we’re being tasked to apply our understanding of the ratio-driven relationships we express with SOH-CAH-TOA, our sin, cosine, and tangent. Keep in mind that these ratios are as follows:From this, if we’re told that the tangent (the ) of is , then the tangent of must be the reciprocal since the opposite of a° is the adjacent of b°, and vice versa. In many cases, recognizing the way SOH-CAH-TOA manipulates the same relationships and sides of a triangle in SAT questions can simplify the extent to which we really end up needing to “do the math.” Here, by recognizing that the tangent of is simply the reciprocal of the tangent of , this question becomes extremely efficient, and allows us to save time for more step-by-step questions elsewhere on the exam. All SAT Mathematics ResourcesComments
This tool helps you calculate trigonometric values like sine, cosine, and tangent for any given angle.How to Use the Trigonometry CalculatorTo use this trigonometry calculator, simply enter an angle in degrees into the input field and click the “Calculate” button. The calculator will then display the sine, cosine, tangent, secant, cosecant, and cotangent values for the given angle. The values are rounded to six decimal places for precision.Explanation of CalculationsThis calculator performs the following trigonometric calculations:Sine (sin): sin(angle) = opposite/hypotenuseCosine (cos): cos(angle) = adjacent/hypotenuseTangent (tan): tan(angle) = opposite/adjacentSecant (sec): sec(angle) = 1/cos(angle)Cosecant (cosec): cosec(angle) = 1/sin(angle)Cotangent (cot): cot(angle) = 1/tan(angle)LimitationsPlease note that secant, cosecant, and cotangent values are marked as “undefined” for angles where they do not have valid values (e.g., sec(90°), cosec(0°), cot(0°)). This is because there are points where the cosine, sine, and tangent functions respectively have values of zero, which would cause a division by zero error. Always ensure the input is a valid number.Use Cases for This CalculatorCalculate Angles in Triangle ProblemsWhen faced with a triangle problem, you often need to find missing angles. By inputting the lengths of the sides, you can use the trigonometry calculator to easily derive the angles using the sine, cosine, or tangent functions, streamlining your problem-solving process.This not only saves time but also ensures accuracy in your calculations, allowing you to focus on higher-level concepts instead of getting bogged down in manual math.Determine Heights and DistancesIn fields like architecture or physics, you frequently need to measure heights and distances that are difficult to obtain directly. By leveraging the sine or cosine of an angle, you can input the known values into the calculator to find these measurements efficiently.This practical application turns complex real-world scenarios into manageable calculations, enhancing your ability to derive meaningful insights from your data.Analyze Waves and OscillationsIf
2025-04-05Inverse functions: the square root, cube root, yth root, natural logarithm, and logarithm.To access additional functions (such as yx or powers of 2), tap the “2nd” key near the top left.Use trigonometric and hyperbolic functionsGo to the Calculator app on your iPad.Tap , then tap Scientific.Find any of the following:Sine: Tap sin, enter a number, then tap =.Cosine: Tap cos, enter a number, then tap =.Tangent: Tap tan, enter a number, then tap =.Hyperbolic sine: Tap sinh, enter a number, then tap =.Hyperbolic cosine: Tap cosh, enter a number, then tap =.Hyperbolic tangent: Tap tanh, enter a number, then tap =.To access the inverse of these functions (such as arcsine or arctangent), tap the “2nd” key near the top left.Use radians or degreesThe scientific calculator uses degrees by default.Go to the Calculator app on your iPad.Tap , then tap Scientific.Tap Rad to switch to radians.When you’re using radians instead of degrees, the label Rad appears in the lower left of the display, and the Rad key becomes Deg.To switch back to degrees, tap the Deg key.When you hold your iPad vertically (in portrait mode), the Rad/Deg key is just above the ÷ key. When you hold it horizontally (in landscape mode), the Rad/Deg key is near the bottom center.Generate a random number between 0 and 1Go to the Calculator app on your iPad.Tap , then tap Scientific.Tap Rand.When you hold your iPad vertically (in portrait mode), the Rand key is just above the AC key. When you hold it horizontally
2025-04-03Scientific Calculator Created Using Visual BasicThis is a calculator that resembles a typical scientific calculator , albeit a simpler version. In our version, we have only included the trigonometric functions and the logarithmic functions. The reason of creating a simpler version of the calculator is to help users to learn the programming concepts in a gradual manner and not to confuse them especially those who are learning to program in Visual Basic.To design the interface, we just to need to modify the interface of the basic calculator that we have created earlier using Visual Basic 6. In this calculator, we have added five more buttons, they are Sin, Cos, Tan, Log and Ln. The common trigonometric functions in Visual Basic 6 are Sin, Cos, Tan and Atn.a) Sin is the function that computes the value of sine of an angle in radian.b) Cos is the function that computes the value of cosine of an angle in radian.c) Tan is the function that computes the value of tangent of an angle in radian.d) Atn is the function that computes the value of arc tangent of an angle in radian.Log computes the value of logarithm to base 10 whilst Ln computes the value of natural logarithm.An angle in degree has to be converted to radian before it can be calculated by the above trigonometric functions. From high school mathematics, we know that π radian is equivalent to 180°; which means 1 radian is equivalent to π divided by 180. Therefore, in order
2025-04-01SOHCAHTOA is an essential mnemonic when you start learning trig, whether you're trying to find the opposite leg, the adjacent leg or the measures of a triangle's acute angles. zizou7 / Shutterstock The mnemonic device SOHCAHTOA helps budding mathematicians remember the trigonometric functions sine (sin), cosine (cos) and tangent (tan), which they need to solve for triangles' missing sides and angles. But to really understand how this memory tool is useful, it's necessary to first refresh yourself on the basics of right-angled triangles, which are the main focus in trigonometry. Contents What Are Right Triangles? Trigonometric Functions and Ratios Using the Trigonometric Ratios Using the Inverse Trigonometric Ratios Pythagorean Theorem Solving for Missing Sides and Angles Trigonometric Identities Real-life Applications What Are Right Triangles? A right-angled triangle, also known as a right triangle, has one angle that is exactly 90 degrees. The side opposite this right angle is the longest side, called the hypotenuse. The other two sides are referred to as the opposite side and the adjacent side, depending on their relationship to the angle being measured or referenced. Trigonometric Functions and Ratios Mathematicians need a way to solve for and relate the angles of a triangle to the length of its sides. To do this, they use the fundamental math functions called trigonometric functions, which have applications across science, engineering and everyday life. Defined based on the ratios of the side lengths in a right-angled triangle, the trigonometric functions are: Sine (sin θ): The ratio of the length of the opposite side to the hypotenuse (O/H).Cosine (cos θ): The ratio of the length of the adjacent side to the hypotenuse (A/H).Tangent (tan θ): The ratio of the length of the opposite side to the adjacent side (O/A). These ratios depend on the angle θ, an acute angle (less than 90 degrees) in the triangle. What Does SOHCAHTOA Stand for? Here’s how the mnemonic device SOHCAHTOA helps mathematicians and math students remember the trigonometric functions and ratios. SOH: Sine = Opposite / HypotenuseCAH: Cosine = Adjacent / HypotenuseTOA: Tangent = Opposite / Adjacent Using the Trigonometric Ratios Mathematicians have to calculate the unknown side lengths or angles in a right triangle all the time. To do this, they apply the trigonometric functions. For example, if you know the value of angle θ, you can find the two sides of a right-angled triangle. Trigonometric Function Example Suppose you have a right triangle with: Angle θ = 30 degreesAdjacent side = a = 5 You want to find the length of the opposite side b. The tangent of an angle in a right-angled triangle is the ratio of the length of the opposite side to the length of the adjacent side, so: tan(θ) = opposite/adjacent You know that: θ = 30Adjacent side a = 5 So, using the tangent function looks like this: You know from trigonometric tables or by using a calculator that: So: Now, to find b: The length of the opposite side b is approximately 2.885 units. Using
2025-04-18String, returns an array containing the original string.$strLenBytesReturns the number of UTF-8 encoded bytes in a string.$strLenCPReturns the number of UTF-8 code points in a string.$strcasecmpPerforms case-insensitive string comparison and returns:0 if two strings are equivalent, 1 if the firststring is greater than the second, and -1 if the firststring is less than the second.$substrDeprecated. Use $substrBytes or$substrCP.$substrBytesReturns the substring of a string. Starts with the characterat the specified UTF-8 byte index (zero-based) in the stringand continues for the specified number of bytes.$substrCPReturns the substring of a string. Starts with the characterat the specified UTF-8 code point (CP) index(zero-based) in the string and continues for the number ofcode points specified.$toLowerConverts a string to lowercase. Accepts a single argumentexpression.$toStringConverts value to a string.New in version 4.0.$trimRemoves whitespace or the specified characters from thebeginning and end of a string.New in version 4.0.$toUpperConverts a string to uppercase. Accepts a single argumentexpression.NameDescription$metaAccess available per-document metadata related to theaggregation operation.Trigonometry expressions perform trigonometric operations on numbers.Values that represent angles are always input or output in radians. Use$degreesToRadians and $radiansToDegrees toconvert between degree and radian measurements.NameDescription$sinReturns the sine of a value that is measured in radians.$cosReturns the cosine of a value that is measured in radians.$tanReturns the tangent of a value that is measured in radians.$asinReturns the inverse sin (arc sine) of a value in radians.$acosReturns the inverse cosine (arc cosine) of a value in radians.$atanReturns the inverse tangent (arc tangent) of a value inradians.$atan2Returns the inverse tangent (arc tangent) of y / x inradians, where y and x are the first and secondvalues passed to the expression respectively.$asinhReturns the inverse hyperbolic sine (hyperbolic arc sine) of avalue in radians.$acoshReturns the inverse hyperbolic cosine (hyperbolic arc cosine)of a value in radians.$atanhReturns the inverse hyperbolic tangent (hyperbolic arctangent) of a value in radians.$sinhReturns the hyperbolic sine of
2025-04-23