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Questions  

Differentiate the following with respect to  θ

cosθ(1-sinθ)

a
11+2sinθ
b
11+sinθ
c
11-2sinθ
d
11-sinθ

detailed solution

Correct option is D

y′=−sin⁡θ(1−sin⁡θ)+cos⁡θ(cos⁡θ)(1−sin⁡θ)2=−sin⁡θ+sin2⁡θ+cos2⁡θ(1−sin⁡θ)2=1−sin⁡θ(1−sin⁡θ)2=11−sin⁡θ

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