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Solving Trig Equations

Authored by ISAAC MENDEZ

Mathematics

11th - 12th Grade

CCSS covered

Used 499+ times

Solving Trig Equations
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve equation for  0θ<2π0\le\theta<2\pi  .
 2+cotθ=3-2+\cot\theta=-3  

 θ=3π4,4π3,7π4\theta=\frac{3\pi}{4},\frac{4\pi}{3},\frac{7\pi}{4}  

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

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

 θ=3π4,4π3\theta=\frac{3\pi}{4},\frac{4\pi}{3}  

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve equation for  0θ<2π0\le\theta<2\pi  .
 1=58cosθ1=5-8\cos\theta  

 θ=π6,π3,11π6\theta=\frac{\pi}{6},\frac{\pi}{3},\frac{11\pi}{6}  

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

 θ=π6\theta=\frac{\pi}{6}  

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

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve equation for  0θ<2π0\le\theta<2\pi  .
 2=5+3secθ-2=-5+3\sec\theta  

 θ=0,π3\theta=0,\frac{\pi}{3}  

 θ=0\theta=0  

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

 No SolutionNo\ Solution  

Tags

CCSS.HSF.TF.B.7

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve equation for  0θ<2π0\le\theta<2\pi  .
 4+4tanθ=04+4\tan\theta=0  

 θ=π\theta=\pi  

 θ=7π4\theta=\frac{7\pi}{4}  

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

 θ=0,3π4\theta=0,\frac{3\pi}{4}  

Tags

CCSS.HSF.TF.B.7

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve equation for  0θ<2π0\le\theta<2\pi  .
 2=43cscθ2=-4-3\csc\theta  

 θ=2π3,7π6\theta=\frac{2\pi}{3},\frac{7\pi}{6}  

 θ=π3\theta=\frac{\pi}{3}  

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

 θ=2π3,7π6,11π6\theta=\frac{2\pi}{3},\frac{7\pi}{6},\frac{11\pi}{6}  

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve equation for  0θ<2π0\le\theta<2\pi  .
 12sec2θ=3sec2θ-1-2\sec^2\theta=-3\sec^2\theta  

 θ=0,π,4π3\theta=0,\pi,\frac{4\pi}{3}  

 θ=0\theta=0  

 θ=π4,3π4,5π4,7π4\theta=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}  

 θ=0,π\theta=0,\pi  

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve equation for  0θ<2π0\le\theta<2\pi  .
 1+tan2θ=4tan2θ1+\tan^2\theta=4\tan^2\theta  

 θ=π6,5π6,7π6,11π6\theta=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}  

 θ=π3,2π3,4π3,5π3\theta=\frac{\pi}{3},\frac{2\pi}{3},\frac{4\pi}{3},\frac{5\pi}{3}  

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

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

Tags

CCSS.HSF.TF.B.7

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