(2 sin theta * tan theta (1- tan theta )...

`(2 sin theta * tan theta (1- tan theta ) + 2 sin theta sec^(2) theta )/( (1+ tan theta)^(2))=`.......... A) `(sin theta)/(1+ tan theta)` B) `(2 sin theta)/(1+ tan theta)` C) `(2 sin theta)/((1+ tan theta )^(2))` D) `(sin theta)/((1+ tan theta)^(2))`

A

`(sin theta)/(1+ tan theta)`

B

`(2 sin theta)/(1+ tan theta)`

C

`(2 sin theta)/((1+ tan theta )^(2))`

D

`(sin theta)/((1+ tan theta)^(2))`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If sec theta - tan theta = 1/2, then theta lies in the

(iii) ( 1 + tan^2 theta ) ( 1 + sin theta ) ( 1 - sin theta ) =1

Prove that : tan theta - cot theta = (2 sin^(2) theta - 1)/(sin theta cos theta)

prove that sin theta + tan theta = (cos theta) / (1-sin theta)

Prove : (cos^2 theta)/(1-tan theta) + (sin^3 theta)/(sin theta-cos theta) = 1 + sin theta cos theta

Prove that: (cos theta)/(1 + sin theta) = sec theta - tan theta

If tan theta + 1/ tan theta = 2, then show that tan^2 theta + 1/tan^2 theta= 2 .

Prove that : sec theta (1 - sin theta ) (sec theta + tan theta ) = 1

Prove : (tan theta) /(1- cot theta) + (cot theta)/ (1-tan theta) = 1 + tan theta + cot theta