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Question
`sqrt((1 + cos A)/(1 - cos A)` = ?
Options
cosec A – cot A
cosec A + cot A
cosec A cot A
sin A tan A
MCQ
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Solution
cosec A + cot A
Explanation:
Given expression = `(sqrt(1 + cos A))/(sqrt(1 - cos A)) xx (sqrt(1 + cos A))/(sqrt(1 + cos A))`
= `((1 + cos A))/sqrt(1 - cos^2A)`
= `((1 + cos A))/(sin A)`
= `(1/(sin A) + (cos A)/(sin A))`
= (cosec A + cot A)
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