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If π<α<(3π)/2 then sqrt((1-cosalpha)/(1...

If `π<α<(3π)/2` then `sqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/(1-cosalpha))` is equal to

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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