ArcTan A using ArcCos Function Solution

STEP 0: Pre-Calculation Summary
Formula Used
ArcTan A = 1/2*acos((1-Value A^2)/(1+Value A^2))
tan-1 A = 1/2*acos((1-A^2)/(1+A^2))
This formula uses 2 Functions, 2 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(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*acos((1-A^2)/(1+A^2)) --> 1/2*acos((1-3^2)/(1+3^2))
Evaluating ... ...
tan-1 A = 1.24904577239825
STEP 3: Convert Result to Output's Unit
1.24904577239825 Radian -->71.5650511770915 Degree (Check conversion here)
FINAL ANSWER
71.5650511770915 71.56505 Degree <-- ArcTan A
(Calculation completed in 00.004 seconds)

Credits

Created by Mayank Tayal
National Institute of Technology (NIT), Durgapur
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St Joseph's College (SJC), Bengaluru
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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 ArcCos Function Formula

ArcTan A = 1/2*acos((1-Value A^2)/(1+Value A^2))
tan-1 A = 1/2*acos((1-A^2)/(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 ArcCos Function?

ArcTan A using ArcCos Function calculator uses ArcTan A = 1/2*acos((1-Value A^2)/(1+Value A^2)) to calculate the ArcTan A, ArcTan A using ArcCos 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 cosine function. ArcTan A is denoted by tan-1 A symbol.

How to calculate ArcTan A using ArcCos Function using this online calculator? To use this online calculator for ArcTan A using ArcCos Function, enter Value A (A) and hit the calculate button. Here is how the ArcTan A using ArcCos Function calculation can be explained with given input values -> 4100.375 = 1/2*acos((1-3^2)/(1+3^2)).

FAQ

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