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If |sin^(-1)x|+|cos^(-1)x|=pi/2,t hen...

If `|sin^(-1)x|+|cos^(-1)x|=pi/2,t hen `

A

R

B

`[-1, 1]`

C

`[0, 1]`

D

`phi`

Text Solution

Verified by Experts

The correct Answer is:
C
`|sin^(-1) x| + |cos^(-1) x| = (pi)/(2)`
`rArr |sin^(-1)x | + cos^(-1) x = (pi)/(2)` ( `:' cos^(-1) x` is always non-negative)
`rArr |sin^(-1) x| = sin^(-1) x`
`rArr sin^(-1) x ge 0`
`rArr 0 le sin^(-1) x le (pi)/(2)`
`rArr 0 le x le 1`
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