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Solving Simple Trig Equations

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Solve the equation for  0°θ<360°0\degree\le\theta<360\degree  .
You may select more than one answer.

 4sinθ=2-4\sin\theta=2  

a)

 30°30\degree  

b)

 60°60\degree  

c)

 210°210\degree  

d)

 330°330\degree  

2.

Solve the equation for  0°θ<360°0\degree\le\theta<360\degree  .
You may select more than one answer.

 5 = 4+tanθ5\ =\ 4+\tan\theta  

a)

 45°45\degree  

b)

 60°60\degree  

c)

 240°240\degree  

d)

 225°225\degree  

3.

Solve the equation for  0°θ<360°0\degree\le\theta<360\degree  .
You may select more than one answer.

 6cosθ=326\cos\theta=3\sqrt{2}  

a)

 45°45\degree  

b)

 60°60\degree  

c)

 300°300\degree  

d)

 315°315\degree  

4.

Solve the equation for  0°θ<360°0\degree\le\theta<360\degree  .
You may select more than one answer.

 22=4cosθ-2\sqrt{2}=4\cos\theta  

a)

 120°120\degree  

b)

 135°135\degree  

c)

 225°225\degree  

d)

 240°240\degree  

5.

Solve the equation for  0°θ<360°0\degree\le\theta<360\degree  .
You may select more than one answer.

 2tanθ=232\tan\theta=2\sqrt{3}  

a)

 30°30\degree  

b)

 60°60\degree  

c)

 210°210\degree  

d)

 240°240\degree  

6.

Solve the equation for  0θ<2π0\le\theta<2\pi  .
You may select more than one answer.

 2=4cosθ-2=4\cos\theta  

a)

 π2\frac{\pi}{2}  

b)

 3π2\frac{3\pi}{2}  

c)

 2π3\frac{2\pi}{3}  

d)

 4π3\frac{4\pi}{3}  

7.

Solve the equation for  0θ<2π0\le\theta<2\pi  .
You may select more than one answer.

 3=2sinθ\sqrt{3}=2\sin\theta  

a)

 π3\frac{\pi}{3}  

b)

 π4\frac{\pi}{4}  

c)

 2π3\frac{2\pi}{3}  

d)

 3π4\frac{3\pi}{4}  

8.

Solve the equation for  0θ<2π0\le\theta<2\pi  .
You may select more than one answer.

 4=8sinθ4=8\sin\theta  

a)

 π6\frac{\pi}{6}  

b)

 π3\frac{\pi}{3}  

c)

 2π3\frac{2\pi}{3}  

d)

 5π6\frac{5\pi}{6}  

9.

Solve the equation for  0θ<2π0\le\theta<2\pi  .
You may select more than one answer.

 6 = 5+tanθ-6\ =\ -5+\tan\theta  

a)

 11π6\frac{11\pi}{6}  

b)

 5π6\frac{5\pi}{6}  

c)

 3π4\frac{3\pi}{4}  

d)

 7π4\frac{7\pi}{4}  

10.

Solve the equation for  0θ<2π0\le\theta<2\pi  .
You may select more than one answer.

 6cosθ=36\cos\theta=3  

a)

 π6\frac{\pi}{6}  

b)

 π3\frac{\pi}{3}  

c)

 5π3\frac{5\pi}{3}  

d)

 7π6\frac{7\pi}{6}