Mathematics

Problem

Sketch the graphs of the following for

0 \le x \le 2\pi

: a. a

y = 2 \cos 3x

b. b

y = 2 \sin\left(x - \frac{\pi}{3}\right) + 3

c. c

y = -\cos\left(x + \frac{\pi}{4}\right)

d. d

y = 2 \sin x - \frac{1}{2}

e. e

y = \frac{3}{2} \tan\left(x - \frac{\pi}{6}\right)

f. f

y = 2 \tan \frac{x}{2}