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Choose the correct answer in each of the following questions:
`sqrt((1-sinA)/(1+sinA))=?`

A

`sec A+tanA`

B

`secA-tanA`

C

`sec A tanA`

D

none of these

Text Solution

Verified by Experts

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