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For the Principal Value, Evaluate of the Following: `Cos^-1 1/2+2sin^-1 (1/2)` - Mathematics

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Question

For the principal value, evaluate of the following:

`cos^-1  1/2+2sin^-1  (1/2)`

Solution

`cos^-1(cosx)=x`

`sin^-1(sinx)=x`

`cos^-1  1/2+2sin^-1  (1/2)`

`=cos^-1(cos  pi/3)+2sin^-1(sin  pi/6)`

`=pi/3+2(pi/6)`

`=(2pi)/3`

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.02 [Page 10]

APPEARS IN

RD Sharma Mathematics [English] Class 12
Chapter 4 Inverse Trigonometric Functions
Exercise 4.02 | Q 5.1 | Page 10

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