Sketch the graphs of the following for :

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

Problem

Sketch the graphs of the following for −2π≤x≤2π-2\pi\leq x\leq2\pi: (1) a) y=−3sin⁡xy=-3\sin x (2) b) y=cos⁡2x+1y=\cos2x+1 (3) c) y=12sin⁡(x+π6)−13y=\frac{1}{2}\sin\left(x+\frac{\pi}{6}\right)-\frac{1}{3} (4) d) y=13cos⁡(x+π4)+1y=\frac{1}{3}\cos\left(x+\frac{\pi}{4}\right)+1 (5) e) y=3sin⁡(x−π3)−1y=3\sin\left(x-\frac{\pi}{3}\right)-1 (6) f) y=−cos⁡(12(x−π4))y=-\cos\left(\frac{1}{2}\left(x-\frac{\pi}{4}\right)\right)

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