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Question

If p cotθ = q2p2, then the value of sinθ is ___. (θ being an acute angle).


A

pq

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B

q2p

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C

q3p

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D

0

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Solution

The correct option is A

pq


Given, p cotθ = q2p2

cotθ = q2p2p

Using the identity, cosec2θ = 1 + cot2θ
= 1 + q2p2p2
= q2p2

Hence, cosecθ = qp
sinθ = pq .


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