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The values of x satisfying sin^(-1)x+sin...

The values of x satisfying `sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x` is/are

A

every x

B

`x in (0,1/(sqrt(2)))`

C

`x in (1/(sqrt(2)),1]`

D

`(-1/(sqrt(2)),1/(sqrt(2)))`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE-II
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