Solving Trigonometric Equations Multiple Angles

Solving Trigonometric Equations Multiple Angles

12th Grade

14 Qs

quiz-placeholder

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Solving Trigonometric Equations Multiple Angles

Solving Trigonometric Equations Multiple Angles

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSF.TF.B.7

Standards-aligned

Created by

Barbara White

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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve on the domain [0,2π)
cos x + 1 = 0

0
No solution
π
3π/2

Tags

CCSS.HSF.TF.B.7

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

A
B
C
D

Tags

CCSS.HSF.TF.B.7

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve on the Interval [0,2π) 
   sinθ = -1   

θ = π /2, 3π /2 
θ = π /2
θ = 3π /2
θ = π  

Tags

CCSS.HSF.TF.B.7

6.

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

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve on the Interval [0,2π)
     tan(x) + 1 = 0     

x = π/4, x = 5π/4
x = π/4, x = 3π/4
x = π/2
x = 3π/4, x = 7π/4

Tags

CCSS.HSF.TF.B.7

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