Let be an odd integer

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Let nn be an odd integer. If sin⁡(nθ)=∑r=0nbrsin⁡rθ\sin(n\theta)=\sum_{r=0}^{n}b_r\sin^r\theta for all real θ\theta, then (1) b0=1, b1=3b_0=1,\ b_1=3 (2) b0=0, b1=nb_0=0,\ b_1=n (3) b0=−1, b1=nb_0=-1,\ b_1=n (4) b0=0, b1=n2−3n−3b_0=0,\ b_1=n^2-3n-3

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