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Question
Prove the following identity :
`cosecA + cotA = 1/(cosecA - cotA)`
Solution
LHS = cosecA + cotA
= `(cosecA + cotA)/1 . (cosecA - cotA)/(cosecA - cotA)`
= `(cosec^2A - cot^2A)/(cosecA - cotA) = (1 + cot^2A - cot^2A)/(cosecA - cotA)`
= `1/(cosecA - cotA)`
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RELATED QUESTIONS
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sec2θ – tan2θ =?
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Activity:
`square` = 1 + tan2θ ......[Fundamental trigonometric identity]
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`sqrt(3)*(sectheta - tan theta)` = 1
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