(1) Trigonometry 8

2 t 37 53 2 h 81 35 cos 81 37 53 h 81 714 h

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Unformatted text preview: h (81) = − 35 cos (81) + 37 53 h (81) = 71.4 h (t ) = − 35 cos Or use the simpler method of 2nd Trace Value x = 81 2π t + 37 53 d) 7 0 In your TI-83, graph the equation and also the line y = 51. The first intersection point will give the time the height first reaches 51 m. Height (m) 6 0 5 0 4 0 3 0 2 0 1 0 2 0 4 0 6 0 8 0 10 0 51 m is first reached at 16.7 s Time (s) ---------------------------------------------------------------- 2. a) The diameter is 28 m, so the radius is 14. The period is 15 seconds. a-value: The amplitude is 14 b-value: b= 2π 2π = P 15 c-value: None for cosine d-value: The highest point is 30 m off the ground and the c) radius is 14 m, so the midline will be at 16 m. 2π t + 16 15 *Use a positive since the rider gets on at the top, and therefore the cosine graph is upright. h(t ) = 14 cos Height (m) b) 3 0 2 5 The rider is at a height of 20 m at the following times: 3.06 s 11.9 s 18.1 s 26.9 s 2 0...
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