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Solving Trig Equations

Authored by Charlie Burrus

Mathematics

9th - 12th Grade

CCSS covered

Used 42+ times

Solving Trig Equations
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve for  θ[0, 2π)\theta\in\left[0,\ 2\pi\right) :

 4+6cosθ=74+6\cos\theta=7  

 θ=π3 or 5π3\theta=\frac{\pi}{3}\ or\ \frac{5\pi}{3}  

 θ=π6 or 11π6\theta=\frac{\pi}{6}\ or\ \frac{11\pi}{6}  

 θ=π6 or 5π6\theta=\frac{\pi}{6}\ or\ \frac{5\pi}{6}  

 θ=π3 or 2π3\theta=\frac{\pi}{3}\ or\ \frac{2\pi}{3}  

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve for  θ[0, 2π)\theta\in\left[0,\ 2\pi\right) :

 4+6cosθ=14+6\cos\theta=1  

 θ=2π3 or 4π3\theta=\frac{2\pi}{3}\ or\ \frac{4\pi}{3}  

 θ=5π6 or 7π6\theta=\frac{5\pi}{6}\ or\ \frac{7\pi}{6}  

 θ=π3 or 2π3\theta=\frac{\pi}{3}\ or\ \frac{2\pi}{3}  

 θ=7π6 or 11π6\theta=\frac{7\pi}{6}\ or\ \frac{11\pi}{6}  

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve for  θ[0, 2π)\theta\in\left[0,\ 2\pi\right) :

 72sinθ=67-\sqrt{2}\sin\theta=6  

 θ=π4 or 3π4\theta=\frac{\pi}{4}\ or\ \frac{3\pi}{4}  

 θ=π2 or 3π2\theta=\frac{\pi}{2}\ or\ \frac{3\pi}{2}  

 θ=π4 or 7π4\theta=\frac{\pi}{4}\ or\ \frac{7\pi}{4}  

 θ=5π4 or 7π4\theta=\frac{5\pi}{4}\ or\ \frac{7\pi}{4}  

Tags

CCSS.HSF.TF.B.7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve for  θ[0, 2π)\theta\in\left[0,\ 2\pi\right) :

 1+3tanθ=2-1+\sqrt{3}\tan\theta=2  

 θ=π3 or 4π3\theta=\frac{\pi}{3}\ or\ \frac{4\pi}{3}  

 θ=π3 or 5π3\theta=\frac{\pi}{3}\ or\ \frac{5\pi}{3}  

 θ=π6 or 5π6\theta=\frac{\pi}{6}\ or\ \frac{5\pi}{6}  

 θ=π6 or 7π6\theta=\frac{\pi}{6}\ or\ \frac{7\pi}{6}  

Tags

CCSS.HSF.TF.B.7

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve for  θ[0, 2π)\theta\in\left[0,\ 2\pi\right) :

 3sinθ=32\sqrt{3}\sin\theta=-\frac{3}{2}  

 θ=4π3 or 5π3\theta=\frac{4\pi}{3}\ or\ \frac{5\pi}{3}  

 θ=7π6 or 11π6\theta=\frac{7\pi}{6}\ or\ \frac{11\pi}{6}  

 θ=2π3 or 4π3\theta=\frac{2\pi}{3}\ or\ \frac{4\pi}{3}  

 θ=5π6 or 7π6\theta=\frac{5\pi}{6}\ or\ \frac{7\pi}{6}  

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve for  θ[0, 2π)\theta\in\left[0,\ 2\pi\right) :

 3cosθ+4.5=3\sqrt{3}\cos\theta+4.5=3  

 θ=4π3 or 5π3\theta=\frac{4\pi}{3}\ or\ \frac{5\pi}{3}  

 θ=7π6 or 11π6\theta=\frac{7\pi}{6}\ or\ \frac{11\pi}{6}  

 θ=2π3 or 4π3\theta=\frac{2\pi}{3}\ or\ \frac{4\pi}{3}  

 θ=5π6 or 7π6\theta=\frac{5\pi}{6}\ or\ \frac{7\pi}{6}  

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve for  θ[0, 2π)\theta\in\left[0,\ 2\pi\right) :

 2tanθ+7=52\tan\theta+7=5  

 θ=3π4 or 7π4\theta=\frac{3\pi}{4}\ or\ \frac{7\pi}{4}  

 θ=3π4 or 5π4\theta=\frac{3\pi}{4}\ or\ \frac{5\pi}{4}  

 θ=π4 or 5π4\theta=\frac{\pi}{4}\ or\ \frac{5\pi}{4}  

 θ=5π4 or 7π4\theta=\frac{5\pi}{4}\ or\ \frac{7\pi}{4}  

Tags

CCSS.HSF.TF.B.7

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