1. 4.5 Graphs of Sine and Cosine y = sin x Fill in the following chart for sin x.

2. y = sin x 1 Period = Range: y = - sin x

3. 1 y = cos x Period = y = - cos x Range:

4. The period, amplitude, vertical and horizontal phase shifts of sine and cosine. v.s. = vertical shift (up and down) A = amplitude n = period (found by dividing 2 pi by n) h.s. = horizontal shift (left and right)

5. + sin tick marks - sin tick marks + cos tick marks - cos tick marks

6. y = 1 + 3 sin 2(x - ) Find: v.s. = A = P = h.s. = up 1 3 This is a + sin, so tick off the + sin’s. Label the middle tick mark with the horz. shift. Add and subtract the period from the h.s. 1 4 -2 x-axis

7. Friday night at the fights. Melanie tastes pavement!

8. y = -2 – 4cos 3(x + ) Find: v.s. = A = P = h.s. = -2 4 This is a - cos, so tick off the – cos’s. Label the middle tick mark with the horz. shift. Add and subtract the period from the h.s. -2 2 -6 x-axis

9. Find: v.s. = A = P = h.s. =

10. 1 Coordinate Plane