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Q.

cotθ+cosecθ−1cotθ−cosecθ+1=

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a

sinθ1+cosθ

b

sinθ1−cosθ

c

1−cosθsinθ

d

cosθ1−sinθ

answer is B.

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Detailed Solution

1=cosec2θ−cot2θ⇒cosecθ−cotθ=1cosecθ+cotθ ∴cotθ+cosecθ−1cotθ−cosecθ+1=cosecθ+cotθ=1+cosθsinθ=sinθ1-cosθ
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