Solve for . Which of the following sets contains all the…

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

Problem

Solve tan⁡(2θ)=tan⁡(θ+60∘)\tan(2\theta) = \tan(\theta + 60^\circ) for 0∘≤θ<360∘0^\circ \le \theta < 360^\circ. Which of the following sets contains all the solutions? (a) {120∘,  300∘}\{120^\circ,\;300^\circ\} (b) {60∘,  240∘}\{60^\circ,\;240^\circ\} (c) {30∘,  210∘}\{30^\circ,\;210^\circ\} (d) {60∘,  150∘}\{60^\circ,\;150^\circ\}

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