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Evaluate the Following: `Cos^-1{Cos (13pi)/6}`

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Question

Evaluate the following:

`cos^-1{cos  (13pi)/6}`

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Solution

We know

`cos^-1(costheta)=thetaif 0<=theta<=pi`

We have

`cos^-1{cos  (13pi)/6}=cos^-1{cos(2pi+pi/6)}`

`= cos^-1{cos(pi/6)}`

`=pi/6`

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Chapter 3: Inverse Trigonometric Functions - Exercise 4.07 [Page 42]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 3 Inverse Trigonometric Functions
Exercise 4.07 | Q 2.4 | Page 42
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