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4.5 Graphs of Sine and Cosine

4.5 Graphs of Sine and Cosine. y = sin x. Fill in the following chart for sin x. y = sin x. y = - sin x. 1. -1. Range:. Period =. y = cos x. y = - cos x. 1. -1. Range:. Period =. The period, amplitude, vertical and horizontal phase shifts of sine and cosine.

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4.5 Graphs of Sine and Cosine

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

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

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

  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. Find: v.s. = A = P = h.s. = up 1 y = 1 + 3 sin 2(x - ) 3 4 1 -2 x-axis 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.

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

  8. Find: v.s. = A = P = h.s. = -2 4 y = -2 – 4cos 3(x + ) 2 x-axis -2 -6 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.

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

  10. Coordinate Plane 1 -1

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