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Evaluate the Following: `Cos^-1(Cos12)` - Mathematics

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Question

Evaluate the following:

`cos^-1(cos12)`

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Solution

We know

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

We have

`cos^-1(cos12)=cos^-1{cos(4pi-12)}`

= 4π - 12

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

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RD Sharma Mathematics [English] Class 12
Chapter 4 Inverse Trigonometric Functions
Exercise 4.07 | Q 2.8 | Page 42

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