(1) Trigonometry 8

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

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online