Value of ArcTan A using ArcSin Function Calculator

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✖Value A is any real number that can be used for inverse trigonometric calculations.ⓘ Value A [A]

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✖ArcTan A is the measure of the principal angle obtained by taking the inverse trigonometric tangent function value of the given real number A.ⓘ Value of ArcTan A using ArcSin Function [tan^-1 A]

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Formula

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Value of ArcTan A using ArcSin Function

Formula

`("tan"^{"-1"}" A") = (1/2)*asin((2*"A")/(1+"A"^2))`

Example

`"18.43495°"=(1/2)*asin((2*("3"))/(1+("3")^2))`

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Value of ArcTan A using ArcSin Function Solution

STEP 0: Pre-Calculation Summary

Formula Used

ArcTan A = (1/2)*asin((2*Value A)/(1+Value A^2))
tan^-1 A = (1/2)*asin((2*A)/(1+A^2))
This formula uses 2 Functions, 2 Variables

Functions Used

sin - Trigonometric sine function, sin(Angle)
asin - Inverse trigonometric sine function, asin(Number)

Variables Used

ArcTan A - (Measured in Radian) - ArcTan A is the measure of the principal angle obtained by taking the inverse trigonometric tangent function value of the given real number A.
Value A - Value A is any real number that can be used for inverse trigonometric calculations.

STEP 1: Convert Input(s) to Base Unit

Value A: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

tan^-1 A = (1/2)*asin((2*A)/(1+A^2)) --> (1/2)*asin((2*3)/(1+3^2))

Evaluating ... ...

tan^-1 A = 0.321750554396642

STEP 3: Convert Result to Output's Unit

0.321750554396642 Radian -->18.4349488229255 Degree (Check conversion here)

FINAL ANSWER

18.4349488229255 ≈ 18.43495 Degree <-- ArcTan A

(Calculation completed in 00.002 seconds)

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Created by Mayank Tayal

National Institute of Technology (NIT), Durgapur

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Indian Institute of Information Technology (IIIT), Guwahati

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< 6 Inverse Trigonometric Formulas Calculators

Value of ArcTan A

Go ArcTan A = (1/3)*atan(((3*Value A)-Value A^3)/(1-3*(Value A^2)))

Value of ArcTan A using ArcCos Function

Go ArcTan A = (1/2)*acos((1-(Value A^2))/(1+(Value A^2)))

Value of ArcTan A using ArcSin Function

Go ArcTan A = (1/2)*asin((2*Value A)/(1+Value A^2))

Value of ArcSec A given ArcCosec A

Go ArcSec A = (pi/2)-ArcCosec A

Value of ArcTan A given ArcCot A

Go ArcTan A = (pi/2)-ArcCot A

Value of ArcSin A given ArcCos A

Go ArcSin A = (pi/2)-ArcCos A

Value of ArcTan A using ArcSin Function Formula

ArcTan A = (1/2)*asin((2*Value A)/(1+Value A^2))
tan^-1 A = (1/2)*asin((2*A)/(1+A^2))

What is Inverse Trigonometry?

Inverse Trigonometry is a branch of mathematics that deals with the inverse functions of trigonometric functions sine(sin), cosine(cos), tangent(tan), secant(sec), cosecant(cosec) and cotangent(cot). These functions (arcsine, arccosine, arctangent, arcsecant, arccosecant and arccotangent) take the resulting value of a trigonometric function and find the original angle that produced that value. In other words, it allows us to find the angle of a right triangle given the ratios of its sides.

How to Calculate Value of ArcTan A using ArcSin Function?

Value of ArcTan A using ArcSin Function calculator uses ArcTan A = (1/2)*asin((2*Value A)/(1+Value A^2)) to calculate the ArcTan A, Value of ArcTan A using ArcSin Function formula is defined as the measure of the principal angle obtained by taking the inverse trigonometric tangent function value of the given real number A, and calculated using the inverse sine function. ArcTan A is denoted by tan^-1 A symbol.

How to calculate Value of ArcTan A using ArcSin Function using this online calculator? To use this online calculator for Value of ArcTan A using ArcSin Function, enter Value A (A) and hit the calculate button. Here is how the Value of ArcTan A using ArcSin Function calculation can be explained with given input values -> 18.43495 = (1/2)*asin((2*3)/(1+3^2)).

FAQ

What is Value of ArcTan A using ArcSin Function?

Value of ArcTan A using ArcSin Function formula is defined as the measure of the principal angle obtained by taking the inverse trigonometric tangent function value of the given real number A, and calculated using the inverse sine function and is represented as tan^-1 A = (1/2)*asin((2*A)/(1+A^2)) or ArcTan A = (1/2)*asin((2*Value A)/(1+Value A^2)). Value A is any real number that can be used for inverse trigonometric calculations.

How to calculate Value of ArcTan A using ArcSin Function?

Value of ArcTan A using ArcSin Function formula is defined as the measure of the principal angle obtained by taking the inverse trigonometric tangent function value of the given real number A, and calculated using the inverse sine function is calculated using ArcTan A = (1/2)*asin((2*Value A)/(1+Value A^2)). To calculate Value of ArcTan A using ArcSin Function, you need Value A (A). With our tool, you need to enter the respective value for Value A and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate ArcTan A?

In this formula, ArcTan A uses Value A. We can use 3 other way(s) to calculate the same, which is/are as follows -

ArcTan A = (pi/2)-ArcCot A
ArcTan A = (1/2)*acos((1-(Value A^2))/(1+(Value A^2)))
ArcTan A = (1/3)*atan(((3*Value A)-Value A^3)/(1-3*(Value A^2)))

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