State the transformations which map onto:

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

Problem

State the transformations which map y=tan⁡xy = \tan x onto: (a) y=tan⁡(x−τ2)y = \tan(x - \frac{\tau}{2}) (b) y=4tan⁡xy = 4 \tan x (c) y=tan⁡(τ2x)y = \tan(\frac{\tau}{2}x) (d) y=tan⁡2x−1y = \tan 2x - 1 (e) y=−12tan⁡xy = -\frac{1}{2} \tan x (f) y=tan⁡(x+τ)+2y = \tan(x + \tau) + 2

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