ArcSec A given ArcCosec A Calculator

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Inverse Trigonometry

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✖ArcCosec A is the measure of the principal angle obtained by taking the inverse trigonometric cosecant function value of the given real number A.ⓘ ArcCosec A [cosec^-1 A]

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✖ArcSec A is the measure of the principal angle obtained by taking the inverse trigonometric secant function value of the given real number A.ⓘ ArcSec A given ArcCosec A [sec^-1 A]

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Formula

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ArcSec A given ArcCosec A

Formula

`("sec"^{"-1"}" A") = pi/2-("cosec"^{"-1"}" A")`

Example

`"60°"=pi/2-"30°"`

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ArcSec A given ArcCosec A Solution

STEP 0: Pre-Calculation Summary

Formula Used

ArcSec A = pi/2-ArcCosec A
sec^-1 A = pi/2-cosec^-1 A
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

ArcSec A - (Measured in Radian) - ArcSec A is the measure of the principal angle obtained by taking the inverse trigonometric secant function value of the given real number A.
ArcCosec A - (Measured in Radian) - ArcCosec A is the measure of the principal angle obtained by taking the inverse trigonometric cosecant function value of the given real number A.

STEP 1: Convert Input(s) to Base Unit

ArcCosec A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

sec^-1 A = pi/2-cosec^-1 A --> pi/2-0.5235987755982

Evaluating ... ...

sec^-1 A = 1.0471975511967

STEP 3: Convert Result to Output's Unit

1.0471975511967 Radian -->60.0000000000169 Degree (Check conversion here)

FINAL ANSWER

60.0000000000169 ≈ 60 Degree <-- ArcSec A

(Calculation completed in 00.004 seconds)

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Credits

Created by Mayank Tayal

National Institute of Technology (NIT), Durgapur

Mayank Tayal has created this Calculator and 25+ more calculators!

Verified by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

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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

ArcSec A given ArcCosec A Formula

ArcSec A = pi/2-ArcCosec A
sec^-1 A = pi/2-cosec^-1 A

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 ArcSec A given ArcCosec A?

ArcSec A given ArcCosec A calculator uses ArcSec A = pi/2-ArcCosec A to calculate the ArcSec A, ArcSec A given ArcCosec A formula is defined as the measure of the principal angle obtained by taking the inverse trigonometric secant function value of the given real number A, and calculated using the value of cosec inverse of A. ArcSec A is denoted by sec^-1 A symbol.

How to calculate ArcSec A given ArcCosec A using this online calculator? To use this online calculator for ArcSec A given ArcCosec A, enter ArcCosec A (cosec^-1 A) and hit the calculate button. Here is how the ArcSec A given ArcCosec A calculation can be explained with given input values -> 3437.747 = pi/2-0.5235987755982.

FAQ

What is ArcSec A given ArcCosec A?

ArcSec A given ArcCosec A formula is defined as the measure of the principal angle obtained by taking the inverse trigonometric secant function value of the given real number A, and calculated using the value of cosec inverse of A and is represented as sec^-1 A = pi/2-cosec^-1 A or ArcSec A = pi/2-ArcCosec A. ArcCosec A is the measure of the principal angle obtained by taking the inverse trigonometric cosecant function value of the given real number A.

How to calculate ArcSec A given ArcCosec A?

ArcSec A given ArcCosec A formula is defined as the measure of the principal angle obtained by taking the inverse trigonometric secant function value of the given real number A, and calculated using the value of cosec inverse of A is calculated using ArcSec A = pi/2-ArcCosec A. To calculate ArcSec A given ArcCosec A, you need ArcCosec A (cosec^-1 A). With our tool, you need to enter the respective value for ArcCosec A and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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