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If 2sec 2theta=tan phi+cotphi, then one ...

If `2sec 2theta=tan phi+cotphi`, then one of the values of `theta+phi` is

A

`pi/2`

B

`pi/4`

C

`pi/3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`2 sec 2theta=tan phi+cot phi`
or `(2)/(cos 2theta)=(sin^(2)phi+cos^(2)phi)/(sinphicos phi)`
or `(2)/(cos2theta)=(1)/(sin phi cos phi)`
or `cos 2theta=sin 2phi`
or `2theta=90^(@)-2phi`
or `theta+phi=(pi)/(4)`
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