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If pi,t h e nsqrt((1-cosalpha)/(1+cosalp...

If `pi,t h e nsqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/(1-cosalpha))` is equal to `2/(sinalpha)` (b) `-2/(sinalpha)` (c) `1/(sinalpha)` (d) `-1/(sinalpha)`

A

`2/sinalpha`

B

`-2/sinalpha`

C

`1/sinalpha`

D

`-1/sinalpha`

Text Solution

Verified by Experts

The correct Answer is:
B
`sqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/(1-cosalpha))=(1-cosalpha+cosalpha)/(sqrt(1-cos^2alpha))`
`=2/abssinalpha=2/abs(-sinalpha) ( :' piltalphalt3pi//2)`
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