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If sin(sin^(-1)1/5+cos^(-1)x)=1, then fi...

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

A

`-1`

B

`2//5`

C

`1//3`

D

`1//5`

Text Solution

Verified by Experts

The correct Answer is:
D
Given,
`sin[sin^(-1)((1)/(5))+cos^(-1)x]=1`
`:.sin^(-1)((1)/(5))+cos^(-1)x=(pi)/(2)`
`impliessin^(-1)((1)/(5))=sin^(-1)x`
`implies" "x=(1)/(5)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 14-Paper 2 (Mathematics)
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