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Letf(θ)=sinθ(sinθ+sin3θ).Thenf(θ)

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By Expert Faculty of Sri Chaitanya
a
0 only when θ0
b
0 for all θ
c
0 for all θ
d
0 only when θ0

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detailed solution

Correct option is C

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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