For 0<theta<2pi,sin^(-1)(sintheta)>cos^(...

For `0cos^(-1)(sintheta)i st r u ew h e n` `(pi/4,pi)` (b) `(pi,(3pi)/2)` `(pi/4,(3pi)/4)` (d) `((3pi)/4,2pi)`

A

`((pi)/(4), pi)`

B

`(pi, (3pi)/(2))`

C

`((pi)/(4), (3pi)/(4))`

D

`((3pi)/(4), 2pi)`

Text Solution

Verified by Experts

The correct Answer is:

C

`sin^(-1) (sin theta) gt (pi)/(2) - sin^(-1) (sin theta)`
`rArr sin^(-1) (sin theta) gt (pi)/(4)`
`rArr sin theta gt (1)/(sqrt2)`
`rArr (pi)/(4) lt theta lt (3pi)/(4)`

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