Solving Trigonometric Equations Quiz

Solving Trigonometric Equations Quiz

9th - 12th Grade

17 Qs

quiz-placeholder

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Solving Trigonometric Equations Quiz

Solving Trigonometric Equations Quiz

Assessment

Quiz

Mathematics

9th - 12th Grade

Medium

Created by

Justine Bartel

Used 4+ times

FREE Resource

17 questions

Show all answers

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 )

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)

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)

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)

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

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

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

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