If and ,…

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

Problem

If

k_1=\tan27\theta-\tan\theta

and

k_2=\frac{\sin\theta}{\cos3\theta}+\frac{\sin3\theta}{\cos9\theta}+\frac{\sin9\theta}{\cos27\theta}

, then (1)

k_1=k_2

(2)

k_1=2k_2

(3)

k_1+k_2=2

(4)

k_2=2k_1

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