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If sin^-1(sin 5)gtx^(2)-4x then...

If `sin^-1(sin 5)gtx^(2)-4x` then

A

`x in (2+sqrt(9-2pi) , oo)`

B

`x in (2-sqrt(9-2pi),2+sqrt(9-2pi))`

C

`x in (2-sqrt(9-2pi),oo)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
We have
`sin^(-1)(sin5)gtx^(2)-4x`
`rarr sin^(-1)sin(5-2pi)gtx^(2)-4x`
`rarr 5-2 pi gt x^(2)-4x`
`rarr x^(2)-4x-5+2pilt0 rarr -sqrt(9-2pi)ltxlt2+sqrt(9-2pi)`
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OBJECTIVE RD SHARMA-INVERSE TRIGONOMETRIC FUNCTIONS -Section I - Solved Mcqs
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