Solve for on :

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Solve for xx on 0≤x≤2π0\leq x\leq 2\pi: (a) sin⁡2x=−12\sin 2x=-\frac{1}{2} (b) cos⁡3x=32\cos 3x=\frac{\sqrt{3}}{2} (c) tan⁡2x−3=0\tan 2x-\sqrt{3}=0 (d) sin⁡x2=12\sin \frac{x}{2}=\frac{1}{\sqrt{2}} (e) 2cos⁡x2+1=02\cos \frac{x}{2}+1=0 (f) 3tan⁡x3−3=03\tan \frac{x}{3}-3=0

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