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Question
`sqrt((1 - sin A)/(1 + sin A)` = ?
Options
sec A – tan A
sec A + tan A
sec A tan A
None of these
MCQ
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Solution
sec A – tan A
Explanation:
Given expression = `(sqrt(1 - sin A))/(sqrt(1 + sin A)) xx (sqrt(1 - sin A))/(sqrt(1 - sin A))`
= `((1 - sin A))/sqrt(1 - sin^2A)`
= `((1 - sin A))/(cos A)`
= `(1/(cos A) - (sin A)/(cos A))`
= (sec A – tan A)
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