Solving Trigonometric Equations Algebraically
Quiz
•
Mathematics
•
12th Grade
•
Practice Problem
•
Medium
Standards-aligned
Anthony Clark
Used 4+ times
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20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve
2cos2θ -1=0
on θ∈[0, 2π)
θ = π /4, 7π /4
θ = π /4, 3π /4
θ = 3π /4, 5π /4
θ = π /4, 3π /4, 5π /4, 7π /4
Tags
CCSS.HSF.TF.B.7
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Tags
CCSS.HSF.TF.B.7
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve
sin2θ = ½
on θ∈[0, 2π)
θ = π /4, 7π /4
θ = π /4, 3π /4
θ = 3π /4, 5π /4
θ = π /4, 3π /4, 5π /4, 7π /4
Tags
CCSS.HSF.TF.B.7
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find all solutions.
2cos(3πx) + 5 = 4
x = 5/18 + 2n/3 and x = 11/18 + 2n/3
x = 1/9 + 2n/3 and x = 5/9 + 2n/3
x = 2/9 + 2πn and x = 4/9 + 2πn
x = 2/9 + 2n/3 and x = 4/9 + 2n/3
Tags
CCSS.HSF.TF.B.7
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For what numbers x, 0 e x e2 ext{π} , does sin x= -1
π/2, 3π/2
3π/2
none
Tags
CCSS.HSF.TF.B.7
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For what numbers x, 0≤x≤2π, does sin x =1
π/2, 3π/2
π/2
0, 2
none
Tags
CCSS.HSF.TF.B.7
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For what numbers x, 0 e x e2 ext{π} does sin x= -1
π/2, 3π/2
3π/2
none
Tags
CCSS.HSF.TF.B.7
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