Find the general value of sin5θ=sinθ

Steps to sovle the general value of sin5θ=sinθ

⇒sin5θ=sinθ

⇒5θ=nπ+(-1)^n(3θ)

⇒5θ-(-1)^n(3θ)=nπ

⇒θ{5-(-1)^n3}=nπ

⇒θ=nπ/{5-(-1)^n3}

Hence the general value of sin5θ=sinθ is nπ/{5-(-1)^n3}

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