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If y=2 sin^(2) tan theta then (dy)/(d th...

If `y=2 sin^(2) tan theta` then `(dy)/(d theta)` will be-

A

`4 sin theta cos theta + sec theta tan theta`

B

`2 sin 2 theta + sec^(2) theta`

C

`4 sin theta + sec^(2) theta`

D

`2 cos^(2) theta +sec^(2) theta`

Text Solution

Verified by Experts

The correct Answer is:
B
`y=2sin^(2)theta+tantheta`
`(dy)/(d theta)=2xx2sinthetacostheta+sec^(2)theta`
`=2sint2theta+sec^(2)theta`
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