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sqrt((1+cosA)/(1-cosA))=...

`sqrt((1+cosA)/(1-cosA))=`

A

`"cosec"A-cotA`

B

`"cosec"A+cotA`

C

`"cosec"AcotA`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`sqrt((1+cosA)/(1-cosA))=sqrt(((1+cosA))/((1-cosA))xx((1+cosA))/((1+cosA)))=((1+cosA))/(sqrt(1-cos^(2)A))=((1+cosA))/(sqrt(sin^(2)A))`
`=((1+cosA))/(sinA)=((1)/(sinA)+(cosA)/(sinA))=("cosec"A+cotA).`
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