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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 sin x - 7 = 0 - 8 cos x + 1 = 0 d) -2 cos 2x = 2 sin x

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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 72E
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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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