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

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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
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1 Answer

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Correct Answer - 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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