Solving Trigonometric Equations Quiz
Authored by Justine Bartel
Mathematics
9th - 12th Grade
CCSS covered
Used 5+ times
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17 questions
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1.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Solve the equation -3 - sec θ = -9 + 2sec θ for all values of θ.
(π/3±2πn , 5π/3±2πn )
(5π/3±2πn )
(π/3±2πn , 2π/3±2πn , 4π/3±2πn , 5π/3±2πn )
(π/3±2πn )
Tags
CCSS.HSF.TF.B.7
2.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Solve the equation 5 - 4sin θ = 11/2 -3sin θ for all values of θ.
(π±2πn )
(7π/6±2πn)
(π±2πn , 7π/6±2πn)
(7π/6±2πn, 11π/6±2πn)
Tags
CCSS.HSF.TF.B.7
3.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Solve the equation 5 - cos 3θ = 3 - 5cos 3θ for 0 ≤ θ < 2π.
(2π/9, 4π/9, 8π/9, 10π/9, 16π/9)
(5π/24, 7π/24, 4π/9, 8π/9, 29π/24)
(5π/24, 29π/24, 41π/24, 16π/9, 43π/24)
(4π/9, 8π/9, 31π/24, 16π/9, 43π/24)
Tags
CCSS.HSF.TF.B.7
4.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Solve the equation 5 - 2tan(θ + π/4) = 2 - 5tan(θ + π/4) for all values of θ. Round your answer to the nearest hundredth.
(π/3, 2π/3, 4π/3, 3π/2)
(π/2, 3π/2)
(4π/3, 3π/2)
(π/3, 2π/3)
Tags
CCSS.HSF.TF.B.7
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Solve the equation: sin θ = √3cos θ + 2sin θ for 0 ≤ θ < 2π.
π/3, 2π/3, 4π/3, 5π/3
2π/3, 4π/3
2π/3
5π/3
Tags
CCSS.HSF.TF.B.7
6.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Solve the equation: 4sin² θ + 2 = 3 for 0 ≤ θ < 2π.
π/6, 5π/6, 7π/6, 11π/6
π/6, 5π/6
5π/6, 11π/6
0, π/6
Tags
CCSS.HSF.TF.B.7
7.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Solve the equation: 3cos θ + 2 + cos² θ = sin² θ for 0 ≤ θ < 2π.
π/6, 2π/6
2π/3, π, 4π/3
3π/4
2π/3, π
Tags
CCSS.HSF.TF.B.7
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