In degrees, solve for…

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

Problem

In degrees, solve tan⁡(2θ−30∘)=tan⁡45∘\tan\left(2\theta - 30^\circ\right) = \tan 45^\circ for 0∘≤θ<180∘0^\circ \le \theta < 180^\circ. (a) θ=37.5∘,  82.5∘,  127.5∘,  172.5∘\theta = 37.5^\circ,\;82.5^\circ,\;127.5^\circ,\;172.5^\circ (b) θ=37.5∘\theta = 37.5^\circ (c) θ=37.5∘,  127.5∘\theta = 37.5^\circ,\;127.5^\circ (d) θ=60∘,  150∘\theta = 60^\circ,\;150^\circ

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