7.5.3 Transformations on Sine and Cosine

Cominations of Transformations

Ex 1 Sketch for 1 cycle:

(a) y = 0.5sin(2x) – 1

(b) y = cos(π /3(x – 4))

Ex 2 Sketch where 0 ≤ x ≤ 2π:

(a) y = -3cos(4(x – π/4))

(b) y = 2sin(2/3(x – π/3)) – 7

Ex 3 Sketch where –π ≤ x ≤ 2π

y = –2cos(2x + π/3) – 1

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