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Question

If sinθ+cosθ p and tanθ+cotθ=q then q(p21)=

A
12
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B
2
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C
1
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D
3
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Solution

The correct option is C 2
(sinθ+cosθ)2=p2
1+sin2θ=p2
tanθ+1tanθ= q
Tan2θ+12Tanθ=q2
Cosec2θ=q2
1p21=q2
1p21=q2
2=(p21)q

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