10. Solve the equation 8 sin' x-8 sinx+1=0 in the interval 0≤x≤ 2m.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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Please help me with questions 10 and 14
MHF 400
7. Solve for
a) 2 cos²
b) 2 sin²
c) cos¹ 0
to the nearest hundredth, where 0 ≤0 ≤ 2m.
+ cos 6-1=0
= 1 - sin
= 2 + cos
+ 5 sin 0-3 = 0
d) 2 sin²
e) 3 tan² 0 - 2 tan @ = 1
f) 12 sin² 0 + sin 0-6=0
Trig Equations
8. Solve each equation for x, where 0 ≤ x ≤ 2T.
a) secx csc x - 2 csc x = 0
d) 2 cotx + (Scx=0
b)
3 sec¹ x -4 = 0
e) cotx csc²x = 2 cotx
c) 2 sin x sec x - 2√3 sinx=0 f) 3 tan'x-tan x = 0
9. Solve each equation in the interval 0 ≤ x ≤ 2. Round to
two decimal places, if necessary.
a) 5 cos 2x cos x + 3 = 0
b) 10 cos 2x - 8 cos x + 1 = 0
10. Solve the equation 8 sin' x - 8 sin x + 1 = 0 in the interval
0≤x≤ 21.
14. Solve the equation 6 sin' x = 17 cos x + 11 for x in the interval
Bosxs 21.
c) 4 cos 2x + 10 sin x-7 = 0
d) - 2 cos 2x = 2 sin x
11. A Ferris wheel has a radius of 10 m and rotates at the rate of one revolution every
48 x. 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 & 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.
e 2 cos²x-cosx-1-0
đ 3 NINH DOA
6. Solve each of the following equations, 0≤x≤ 2.
a. 2 cos²x+5 cos x-3-0
là 2 sin x = sinx - 2 = 0
3-3 sinx-2 cos²x = 0
1. 2 sin - 3.0081 =
B5 - 9000km 4 NH
h. 3(tan 0+ sin'0)-4-4 tan 0-3 cos²0
i) 2 (cos²x-sin-x) = √2
J). Sinxt Cosx =Ộ
K). Sin2x = cosx
-28-10
11. a). h
or
h=
Transcribed Image Text:MHF 400 7. Solve for a) 2 cos² b) 2 sin² c) cos¹ 0 to the nearest hundredth, where 0 ≤0 ≤ 2m. + cos 6-1=0 = 1 - sin = 2 + cos + 5 sin 0-3 = 0 d) 2 sin² e) 3 tan² 0 - 2 tan @ = 1 f) 12 sin² 0 + sin 0-6=0 Trig Equations 8. Solve each equation for x, where 0 ≤ x ≤ 2T. a) secx csc x - 2 csc x = 0 d) 2 cotx + (Scx=0 b) 3 sec¹ x -4 = 0 e) cotx csc²x = 2 cotx c) 2 sin x sec x - 2√3 sinx=0 f) 3 tan'x-tan x = 0 9. Solve each equation in the interval 0 ≤ x ≤ 2. Round to two decimal places, if necessary. a) 5 cos 2x cos x + 3 = 0 b) 10 cos 2x - 8 cos x + 1 = 0 10. Solve the equation 8 sin' x - 8 sin x + 1 = 0 in the interval 0≤x≤ 21. 14. Solve the equation 6 sin' x = 17 cos x + 11 for x in the interval Bosxs 21. c) 4 cos 2x + 10 sin x-7 = 0 d) - 2 cos 2x = 2 sin x 11. A Ferris wheel has a radius of 10 m and rotates at the rate of one revolution every 48 x. 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 & 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. e 2 cos²x-cosx-1-0 đ 3 NINH DOA 6. Solve each of the following equations, 0≤x≤ 2. a. 2 cos²x+5 cos x-3-0 là 2 sin x = sinx - 2 = 0 3-3 sinx-2 cos²x = 0 1. 2 sin - 3.0081 = B5 - 9000km 4 NH h. 3(tan 0+ sin'0)-4-4 tan 0-3 cos²0 i) 2 (cos²x-sin-x) = √2 J). Sinxt Cosx =Ộ K). Sin2x = cosx -28-10 11. a). h or h=
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