State the transformations which map:

MATHEMATICS · Multi-part · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

State the transformations which map: (1) a y=tan⁡xy = \tan x onto y=−tan⁡2xy = -\tan 2x (2) b y=sin⁡xy = \sin x onto y=2sin⁡(12(x−π2))+12y = 2 \sin\left(\frac{1}{2}\left(x - \frac{\pi}{2}\right)\right) + \frac{1}{2} .

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