ArcTan A Solution

STEP 0: Pre-Calculation Summary
Formula Used
ArcTan A = 1/3*atan(((3*Value A)-Value A^3)/(1-(3*Value A^2)))
tan-1 A = 1/3*atan(((3*A)-A^3)/(1-(3*A^2)))
This formula uses 2 Functions, 2 Variables
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(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 = 1/3*atan(((3*A)-A^3)/(1-(3*A^2))) --> 1/3*atan(((3*3)-3^3)/(1-(3*3^2)))
Evaluating ... ...
tan-1 A = 0.201848221201657
STEP 3: Convert Result to Output's Unit
0.201848221201657 Radian -->11.5650511770802 Degree (Check conversion here)
FINAL ANSWER
11.5650511770802 11.56505 Degree <-- ArcTan A
(Calculation completed in 00.004 seconds)

Credits

Created by Mayank Tayal
National Institute of Technology (NIT), Durgapur
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Verified by Dipto Mandal
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 Formula

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

ArcTan A calculator uses ArcTan A = 1/3*atan(((3*Value A)-Value A^3)/(1-(3*Value A^2))) to calculate the ArcTan A, ArcTan A 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. ArcTan A is denoted by tan-1 A symbol.

How to calculate ArcTan A using this online calculator? To use this online calculator for ArcTan A, enter Value A (A) and hit the calculate button. Here is how the ArcTan A calculation can be explained with given input values -> 662.6286 = 1/3*atan(((3*3)-3^3)/(1-(3*3^2))).

FAQ

What is ArcTan A?
ArcTan A 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 is represented as tan-1 A = 1/3*atan(((3*A)-A^3)/(1-(3*A^2))) or ArcTan A = 1/3*atan(((3*Value A)-Value A^3)/(1-(3*Value A^2))). Value A is any real number that can be used for inverse trigonometric calculations.
How to calculate ArcTan A?
ArcTan A 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 is calculated using ArcTan A = 1/3*atan(((3*Value A)-Value A^3)/(1-(3*Value A^2))). To calculate ArcTan A, 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 = 1/2*asin((2*Value A)/(1+Value A^2))
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