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Question
`(1 + cot^2A)/(1 + tan^2A)` = ?
Options
tan2A
sec2A
cosec2A
cot2A
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Solution
cot2A
Explanation:
`(1 + cot^2A)/(1 + tan^2A)`
= `("cosec"^2A)/(sec^2A)`
= `(1/(sin^2A))/(1/(cos^2A))`
= `(cos^2A)/(sin^2A)`
= cot2A
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