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Section 8.3 Solve Trig Equations

Authored by Don Krolak

Mathematics

9th - 12th Grade

CCSS covered

Used 1+ times

Section 8.3 Solve Trig Equations
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7 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write the general formula for all the solutions for 2cosθ−4 = 0

No solution

π/3 +2kπ, 5π/3 +2kπ

π/6 +2kπ, 11π/6 +2kπ

2π/3 +2kπ, 4π/3 +2kπ

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve

2cos2θ -1=0

on the interval [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

15 mins • 1 pt

Write the general form for all the solutions to sin2θ = ½ based on the smaller angle.

θ = π / 6 + 2kπ

θ = π /12 + kπ

θ = π / 3 + 2kπ

θ = π / 6 + kπ

Tags

CCSS.HSF.TF.B.7

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write the general form for all the solutions to sin2θ = ½ based on the larger angle.

θ = 5π / 6 + 2kπ

θ = π /6 + kπ

θ = π / 3 + 2kπ

θ = 5π /12 + kπ

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write the general form for all the solutions to sin θ/2 = ½ based on the smaller angle.

θ = π / 3 + kπ

θ = π /3 + 2kπ

θ = π / 3 + 4kπ

θ = π /6 + 4kπ

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Write the general form for all the solutions to sin θ/2 = ½ based on the larger angle.

θ = π / 6 + kπ

θ = 5π /3 + 4kπ

θ = 2π / 3 + 4kπ

θ = π / 6 + 4kπ

Tags

CCSS.HSF.TF.B.7

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