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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 0 ≤ x ≤ 2 π 0 \le x \le 2\pi 0 ≤ x ≤ 2 π :
(1) a y = 2 cos 3 x y = 2 \cos 3x y = 2 cos 3 x
(2) b y = 2 sin ( x − π 3 ) + 3 y = 2 \sin\left(x - \frac{\pi}{3}\right) + 3 y = 2 sin ( x − 3 π ) + 3
(3) c y = − cos ( x + π 4 ) y = -\cos\left(x + \frac{\pi}{4}\right) y = − cos ( x + 4 π )
(4) d y = 2 sin x − 1 2 y = 2 \sin x - \frac{1}{2} y = 2 sin x − 2 1
(5) e y = 3 2 tan ( x − π 6 ) y = \frac{3}{2} \tan\left(x - \frac{\pi}{6}\right) y = 2 3 tan ( x − 6 π )
(6) f y = 2 tan x 2 y = 2 \tan \frac{x}{2} y = 2 tan 2 x
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