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Evaluate the Following: `Cos^-1{Cos (5pi)/4}` - Mathematics

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Question

Evaluate the following:

`cos^-1{cos  (5pi)/4}`

Solution

We know

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

We have

`cos^-1{cos  (5pi)/4}=cos^-1{cos(2pi-(3pi)/4)}`

`=cos^-1{cos((3pi)/4)}`

`=(3pi)/4`

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.07 [Page 42]

APPEARS IN

RD Sharma Mathematics [English] Class 12
Chapter 4 Inverse Trigonometric Functions
Exercise 4.07 | Q 2.2 | Page 42

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