Solving Trig Equations
3 years ago
dkegelman
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• Question 1
180 seconds
Q. Which of the following is NOT
a solution to
sin θ = √(3) / 2 ?
π / 3
2π / 3
5π / 3
7π / 3
• Question 2
180 seconds
Q. TRUE or FALSE:
There is NO SOLUTION to sinθ = -1.
TRUE
FALSE
• Question 3
180 seconds
Q. Solve sinθ = ½ on θ∈[0, 2π)
θ = π / 6,  7π / 6
θ = π / 6,  5π / 6
θ = 5π / 6,  7π / 6
θ = 7π / 6,  11π / 6
• Question 4
180 seconds
Q. Solve sinθ = -1 on θ∈[0, 2π)
θ = π /2, 3π /2
θ = π /2
θ = 3π /2
θ = π
• Question 5
180 seconds
Q. Solve
cos θ = -1
on  θ∈[0, 2π)
θ = π /2, 3π /2
θ = π /2
θ = 3π /2
θ = π
• Question 6
180 seconds
Q. Which of these is NOT
a solution to
tan θ = 0 ?
θ = 0
θ = π /2
θ = π
θ = 2π
• Question 7
300 seconds
Q. Solve
cos2θ = 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
• Question 8
180 seconds
Q. Solve
cosθ = - √(3)/2
on θ∈[0, 2π)
θ = π /3, 2π /3
θ = 2π /3, 4π /3
θ = π /6, 5π /6
θ = 5π /6, 7π /6
• Question 9
300 seconds
Q.
A
B
C
D
• Question 10
300 seconds
Q. Solve on the Interval [0,2π)
tan(x)+1=2
0 and π
3π/4 and 7π/4
π/4 and 5π/4
3π/4 and 5π/4
• Question 11
300 seconds
Q.
No solution
π/3 +2πn, 5π/3 +2πn
π/6 +2πn, 11π/6 +2πn
2π/3 +2πn, 4π/3 +2πn
• Question 12
30 seconds
Q. 2 sinθ+3=2
π/6,2π/3
7π/6
7π/6, 11π/6
• Question 13
30 seconds
Q. Solve on the domain [0,2π)
cos x + 1 = 0
0
No solution
π
3π/2
• Question 14
30 seconds
Q. Solve on the domain [0, 2π)
1/2sec x - 1 = 0
π/6, 5π/6
π/3, 5π/3
2π/3, 4π/3
7π/6, 11π/6
• Question 15
30 seconds
Q. Solve on the domain [0, 2π)
4sin2x = 3
π/6, 11π/6
π/3, 2π/3
π/6, 5π/6, 7π/6, 11π/6
π/3, 2π/3, 4π/3, 5π/3
• Question 16
30 seconds
Q. Solve on the domain [0, 2π)
2sin x cos x = √2 cos x
π/2, 3π/2
0, π/4, 3π/4
π/2, 3π/2, π/4, 3π/4
No solution
• Question 17
30 seconds
Q. Solve on the domain [0, 2π)
cos2 x + sin x + 1 = 0
π
3π/2
π/6, 5π/6, 3π/2
No solution
• Question 18
30 seconds
Q. Solve on the domain [0, 2π)
cos x + 2 = 3 cos x
0, 2π/3, 4π/3
π
0
No solution
• Question 19
30 seconds
Q. Solve on the domain [0,2π)
1/4sin x + 1= 0
0
7π/4
5π/4
No solution
• Question 20
60 seconds
Q. Which of the following is NOT
a solution to
sin θ = √(3) / 2 ?
π / 3
2π / 3
5π / 3
7π / 3
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