Sketch the graphs of the following for :

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

Problem

Sketch the graphs of the following for 0≤x≤4π0\leq x\leq4\pi: (1) y=sin⁡x−2y=\sin x-2 (2) y=sin⁡x+3y=\sin x+3 (3) y=sin⁡x−0.5y=\sin x-0.5 (4) y=sin⁡(x−2)y=\sin(x-2) (5) y=sin⁡(x+2)y=\sin(x+2) (6) y=sin⁡(x−π4)y=\sin\left(x-\frac{\pi}{4}\right) (7) y=sin⁡(x−π6)+1y=\sin\left(x-\frac{\pi}{6}\right)+1 (8) y=sin⁡(x−1)−2y=\sin(x-1)-2 (9) y=sin⁡(x+π4)+2y=\sin\left(x+\frac{\pi}{4}\right)+2 (10) y=3sin⁡xy=3\sin x (11) y=12sin⁡xy=\frac12\sin x (12) y=32sin⁡xy=\frac32\sin x (13) y=sin⁡3xy=\sin3x (14) y=sin⁡x2y=\sin\frac{x}{2} (15) y=sin⁡4xy=\sin4x

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