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Let theta, varphi epsilon [0,2pi] be suc...

Let `theta, varphi epsilon [0,2pi]` be such that `2 cos theta(1-sin varphi)= sin^2 theta(tan theta/2+cot theta/2)cos varphi-1, tan(2pi-theta)>0` and `-1> sin theta < sqrt3 /2`

A

`0 lt varphilt (pi)/(2)`

B

`(pi)/(2) lt varphilt (4pi)/(3)`

C

`(4pi)/(3) lt varphilt (3pi)/(2)`

D

`(3pi)/(2) lt varphilt (2pi)`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
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