TrigIdentity Intermediate

Problem - 3903
Compute the values of $$S=C_n^1\sin\theta + C_n^2\sin 2\theta + \cdots + C_n^n\sin n\theta$$ and $$C=C_n^1\cos\theta + C_n^2\cos 2\theta + \cdots + C_n^n\cos n\theta$$

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