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Sketch the graphs of the following for :
MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry
Problem Sketch the graphs of the following for − 2 π ≤ x ≤ 2 π -2\pi\leq x\leq2\pi − 2 π ≤ x ≤ 2 π :
(1) a) y = − 3 sin x y=-3\sin x y = − 3 sin x
(2) b) y = cos 2 x + 1 y=\cos2x+1 y = cos 2 x + 1
(3) c) y = 1 2 sin ( x + π 6 ) − 1 3 y=\frac{1}{2}\sin\left(x+\frac{\pi}{6}\right)-\frac{1}{3} y = 2 1 sin ( x + 6 π ) − 3 1
(4) d) y = 1 3 cos ( x + π 4 ) + 1 y=\frac{1}{3}\cos\left(x+\frac{\pi}{4}\right)+1 y = 3 1 cos ( x + 4 π ) + 1
(5) e) y = 3 sin ( x − π 3 ) − 1 y=3\sin\left(x-\frac{\pi}{3}\right)-1 y = 3 sin ( x − 3 π ) − 1
(6) f) y = − cos ( 1 2 ( x − π 4 ) ) y=-\cos\left(\frac{1}{2}\left(x-\frac{\pi}{4}\right)\right) y = − cos ( 2 1 ( x − 4 π ) )
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