7. What are all values of 0, for 0≤0<2л, where 2 sin² 0=-sin? - 5π 6 π (A) 0, л, and 6 7π (B) 0,л, 11π , and 6 6 π 3π π (C) 5π 2 2 3 , and π 3π 2π (D) 2' 2'3 , and 3 4元 3 1 די } I -2m 3 1 -3 บ 1 # 1 I 3# 3m 8. The graph of g is shown above. Which of the following is an expression for g(x)? (A) 1+ tan(x) (B) 1-tan (x) (C) 1-tan (2x) (D) 1-tan + X - 9. The function j is given by j(x)=2(sin x)(cos x)-cos x. Solve j(x) = 0 for values of x in the interval Quiz A: Topic 3.10 Trigonometric Equations and Inequalities Created by Bryan Passwater 10. Let f(x)=5-4 cos x and let g(x)=7. What are all values of x in the xy-plane, 0≤x≤2л, for which f(x) < g(x)? 11. What are all values of 0, 0≤0≤2л, for which (2 sin0+ √2) (6 cos 0-3)≥0? 12. Let f(x)=2+4sin² (x) and let g(x)=5. What are all values of x in the xy-plane, 0≤x≤2, for which f(x) = g(x)? W (x) (a) d
7. What are all values of 0, for 0≤0<2л, where 2 sin² 0=-sin? - 5π 6 π (A) 0, л, and 6 7π (B) 0,л, 11π , and 6 6 π 3π π (C) 5π 2 2 3 , and π 3π 2π (D) 2' 2'3 , and 3 4元 3 1 די } I -2m 3 1 -3 บ 1 # 1 I 3# 3m 8. The graph of g is shown above. Which of the following is an expression for g(x)? (A) 1+ tan(x) (B) 1-tan (x) (C) 1-tan (2x) (D) 1-tan + X - 9. The function j is given by j(x)=2(sin x)(cos x)-cos x. Solve j(x) = 0 for values of x in the interval Quiz A: Topic 3.10 Trigonometric Equations and Inequalities Created by Bryan Passwater 10. Let f(x)=5-4 cos x and let g(x)=7. What are all values of x in the xy-plane, 0≤x≤2л, for which f(x) < g(x)? 11. What are all values of 0, 0≤0≤2л, for which (2 sin0+ √2) (6 cos 0-3)≥0? 12. Let f(x)=2+4sin² (x) and let g(x)=5. What are all values of x in the xy-plane, 0≤x≤2, for which f(x) = g(x)? W (x) (a) d
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.5: Product-to-sum And Sum-to-product Formulas
Problem 2E
Related questions
Question
Transcribed Image Text:7. What are all values of 0, for 0≤0<2л, where 2 sin² 0=-sin?
-
5π
6
π
(A) 0, л,
and
6
7π
(B) 0,л,
11π
, and
6
6
π 3π π
(C)
5π
2 2 3
, and
π 3π 2π
(D)
2' 2'3
, and
3
4元
3
1
די
}
I
-2m
3
1
-3
บ
1
#
1
I
3#
3m
8. The graph of g is shown above. Which of the following is an expression for g(x)?
(A) 1+ tan(x)
(B) 1-tan (x)
(C) 1-tan (2x)
(D) 1-tan
+
X
-
9. The function j is given by j(x)=2(sin x)(cos x)-cos x. Solve j(x) = 0 for values of x in the interval
Quiz A: Topic 3.10
Trigonometric Equations and Inequalities
Created by Bryan Passwater
Transcribed Image Text:10. Let f(x)=5-4 cos x and let g(x)=7. What are all values of x in the xy-plane, 0≤x≤2л, for which
f(x) < g(x)?
11. What are all values of 0, 0≤0≤2л, for which (2 sin0+ √2) (6 cos 0-3)≥0?
12. Let f(x)=2+4sin² (x) and let g(x)=5. What are all values of x in the xy-plane, 0≤x≤2, for which
f(x) = g(x)?
W
(x)
(a) d
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