9. Solve each equation in the interval 0 ≤ x ≤ 27. Round to two decimal places, if necessary. a) 5 cos 2x cos x + 3 = 0 b) 10 cos 2x c) 4 cos 2x + 10 sin x - 7 = 0 - 8 cos x + 1 = 0 d) -2 cos 2x = 2 sin x

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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9. Solve each equation in the interval 0 ≤ x ≤ 27. Round to
two decimal places, if necessary.
a) 5 cos 2x cos x + 3 = 0
b) 10 cos 2x
c) 4 cos 2x + 10 sinx - 7 = 0
8 cos x + 1 = 0 d) - 2 cos 2x = 2 sin x
10. Solve the equation 8 sin²x - 8 sin x + 1 = 0 in the interval
0≤x≤ 27.
14. Solve the equation 6 sin²x = 17 cos x + 11 for x in the interval
10≤x≤ 2T.
11. A Ferris wheel has a radius of 10 m and rotates at the rate of one revolution every
48 s. At the bottom of the ride, the passenger is 2 m above the ground. You start you
ride from the bottom of the wheel.
a. Determine a function that represents your height h above the ground at any time
b. Determine your height above the ground in 2.5 min.
c. At what times is your height 9 m above the ground? Write your answer correcti
the nearest second.
Transcribed Image Text:9. Solve each equation in the interval 0 ≤ x ≤ 27. Round to two decimal places, if necessary. a) 5 cos 2x cos x + 3 = 0 b) 10 cos 2x c) 4 cos 2x + 10 sinx - 7 = 0 8 cos x + 1 = 0 d) - 2 cos 2x = 2 sin x 10. Solve the equation 8 sin²x - 8 sin x + 1 = 0 in the interval 0≤x≤ 27. 14. Solve the equation 6 sin²x = 17 cos x + 11 for x in the interval 10≤x≤ 2T. 11. A Ferris wheel has a radius of 10 m and rotates at the rate of one revolution every 48 s. At the bottom of the ride, the passenger is 2 m above the ground. You start you ride from the bottom of the wheel. a. Determine a function that represents your height h above the ground at any time b. Determine your height above the ground in 2.5 min. c. At what times is your height 9 m above the ground? Write your answer correcti the nearest second.
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