Letf(θ)=sin⁡θ(sin⁡θ+sin⁡3θ).Thenf(θ)

Letf(θ)=sinθ(sinθ+sin3θ).Thenf(θ)

  1. A

    0 only when θ0

  2. B

    0 for all θ

  3. C

    0 for all θ

  4. D

    0 only when θ0

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    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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