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What is (2tantheta)/(1+tan^(2)theta) e...

What is `(2tantheta)/(1+tan^(2)theta)` equal to ?

A

`cos 2theta`

B

`tan2theta`

C

`sin2 theta`

D

`"cosec "2theta`

Text Solution

Verified by Experts

The correct Answer is:
C
`(2tantheta)/(1+tan^(2)theta)=(2tantheta)/(sec^(2)theta)`
`=2tantheta.cos^(2)theta`
`=2sintheta.costheta=sin2theta`
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