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Q.

Letf(θ)=sinθ(sinθ+sin3θ).Thenf(θ)

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a

0 for all θ

b

0 only when θ0

c

0 only when θ0

d

0 for all θ

answer is C.

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Detailed Solution

f(θ)=sin θ(sin θ + sin 3θ)

=sin θ.2sin 2θ cosθ =2 sin θ cosθ sin 2θ

=sin2  2θ0 for all θ 

 

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