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Solving Trig Equations

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Solve the equation for 0°θ360°0\degree\le\theta\le360\degree . Select ALL correct answers.

 tanθ=3\tan\theta=-\sqrt{3}  

a)

 60°60\degree  

b)

 120°120\degree  

c)

 240°240\degree  

d)

 300°300\degree  

2.

Solve the equation for 0°θ360°0\degree\le\theta\le360\degree . Select ALL correct answers.

 6sinθ=36\sin\theta=3  

a)

 60°60\degree  

b)

 300°300\degree  

c)

 30°30\degree  

d)

 150°150\degree  

3.

Solve the equation for 0°θ360°0\degree\le\theta\le360\degree . Select ALL correct answers.

 4cosθ=24\cos\theta=-2  

a)

 60°60\degree  

b)

 120°120\degree  

c)

 240°240\degree  

d)

 300°300\degree  

4.

Solve the equation for 0°θ360°0\degree\le\theta\le360\degree . Select ALL correct answers.

 1+sinθ=1-1+\sin\theta=-1  

a)

 0°0\degree  

b)

 90°90\degree  

c)

 180°180\degree  

d)

 270°270\degree  

e)

 360°360\degree  

5.

Solve the equation for 0°θ360°0\degree\le\theta\le360\degree . Select ALL correct answers.

 5+tanθ=45+\tan\theta=4  

a)

 45°45\degree  

b)

 135°135\degree  

c)

 225°225\degree  

d)

 315°315\degree  

6.

Solve the equation for 0°θ360°0\degree\le\theta\le360\degree . Select ALL correct answers.

 15+4cosθ=1522-15+4\cos\theta=-15-2\sqrt{2}  

a)

 45°45\degree  

b)

 135°135\degree  

c)

 225°225\degree  

d)

 315°315\degree  

7.

Solve the equation for 0°θ360°0\degree\le\theta\le360\degree . Select ALL correct answers.

 12sinθ=11-2\sin\theta=-1  

a)

 0°0\degree  

b)

 90°90\degree  

c)

 180°180\degree  

d)

 270°270\degree  

e)

 360°360\degree  

8.

Solve the equation for 0°θ360°0\degree\le\theta\le360\degree . Select ALL correct answers.

 123tanθ=12+3-12-3\tan\theta=-12+\sqrt{3}  

a)

 30°30\degree  

b)

 150°150\degree  

c)

 210°210\degree  

d)

 330°330\degree  

9.

Solve the equation for 0°θ360°0\degree\le\theta\le360\degree . Select ALL correct answers.

 2sinθcosθ2cosθ=02\sin\theta\cos\theta-\sqrt{2}\cos\theta=0  

a)

 45°45\degree  

b)

 90°90\degree  

c)

 135°135\degree  

d)

 270°270\degree  

e)

 315°315\degree  

10.

Solve the equation for 0°θ360°0\degree\le\theta\le360\degree . Select ALL correct answers.

 sinθtanθ3sinθ=0\sin\theta\tan\theta-\sqrt{3}\sin\theta=0  

a)

 0°0\degree  

b)

 60°60\degree  

c)

 180°180\degree  

d)

 240°240\degree  

e)

 360°360\degree