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 - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., 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 00.004 seconds)

Credits

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 Trigonometry Calculators

ArcTan A
Go ArcTan A = 1/3*atan(((3*Value A)-Value A^3)/(1-(3*Value A^2)))
ArcTan A using ArcCos Function
Go ArcTan A = 1/2*acos((1-Value A^2)/(1+Value A^2))
ArcTan A using ArcSin Function
Go ArcTan A = 1/2*asin((2*Value A)/(1+Value A^2))
ArcSec A given ArcCosec A
Go ArcSec A = pi/2-ArcCosec A
ArcTan A given ArcCot A
Go ArcTan A = pi/2-ArcCot A
ArcSin A given ArcCos A
Go ArcSin A = pi/2-ArcCos A

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 ArcTan A using ArcSin Function?

ArcTan A using ArcSin Function calculator uses ArcTan A = 1/2*asin((2*Value A)/(1+Value A^2)) to calculate the ArcTan A, 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 ArcTan A using ArcSin Function using this online calculator? To use this online calculator for ArcTan A using ArcSin Function, enter Value A (A) and hit the calculate button. Here is how the ArcTan A using ArcSin Function calculation can be explained with given input values -> 1056.245 = 1/2*asin((2*3)/(1+3^2)).

FAQ

What is ArcTan A using ArcSin Function?
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 ArcTan A using ArcSin Function?
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 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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