Mathematics

Problem

State the transformations which map

y = \tan x

onto: (a)

y = \tan(x - \frac{\tau}{2})

(b)

y = 4 \tan x

(c)

y = \tan(\frac{\tau}{2}x)

(d)

y = \tan 2x - 1

(e)

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

(f)

y = \tan(x + \tau) + 2