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If sin^(-1)x=pi/5,forsom ex in (-1,1), t...

If `sin^(-1)x=pi/5,forsom ex in (-1,1),` then find the value of `cos^(-1)xdot`

A

`(3pi)/(10)`

B

`(5pi)/(10)`

C

`(7pi)/(10)`

D

`(9pi)/(10)`

Text Solution

Verified by Experts

The correct Answer is:
A
We know ` sin ^( -1 ) x + cos ^( - 1 ) x = ( pi )/( 2 ) `
` rArr cos ^( - 1) x= ( pi )/( 2 ) - sin ^( -1) x = ( pi ) / ( 2 ) - ( pi ) /( 5 ) `
` rArr cos ^( - 1 ) x = (3pi )/(10 ) `
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 15-PAPER 2 (MATHEMATICS)
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