Solving Trig Equations

Solving Trig Equations

9th - 12th Grade

7 Qs

quiz-placeholder

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Solving Trig Equations

Solving Trig Equations

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

CCSS
HSF.TF.B.7

Standards-aligned

Created by

Benjamin DeLange

Used 1+ times

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

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

0
No solution
π
3π/2

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

Solve on the domain [0, 2π)
cos x + 2 = 3 cos x

0, 2π/3, 4π/3
π
0
No solution

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE CHOICE QUESTION

15 mins • 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

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve equation for  0θ<2π0\le\theta<2\pi  .
 3sin2θ+4=5+sin2θ3\sin^2\theta+4=5+\sin^2\theta  

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

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

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

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

Tags

CCSS.HSF.TF.B.7

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve equation for  0θ<2π0\le\theta<2\pi  .
 0=3sinθ2sin2θ0=-\sqrt{3}\sin\theta-2\sin^2\theta  

 θ=0,2π3,π,5π3\theta=0,\frac{2\pi}{3},\pi,\frac{5\pi}{3}  

 θ=π2,7π6,3π2,11π6\theta=\frac{\pi}{2},\frac{7\pi}{6},\frac{3\pi}{2},\frac{11\pi}{6}  

 θ=0,π,4π3,5π3\theta=0,\pi,\frac{4\pi}{3},\frac{5\pi}{3}  

 θ=0,π,5π3\theta=0,\pi,\frac{5\pi}{3}  

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve 2cos2θ -1=0 for all values

θ = π /4+2πn, 7π /4+2πn

θ = π /4+2πn, 3π /4+2πn

θ = 3π /4+2πn, 5π /4+2πn

θ = π /4+2πn, 3π /4+2πn, 5π /4+2πn, 7π /4+2πn

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

 Solve   3sec2x = 4  for  0  x < 2πSolve\ \ \ 3\sec^2x\ =\ 4\ \ for\ \ 0\ \le\ x\ <\ 2\pi  

 π6, 5π6, 7π6, 11π6\frac{\pi}{6},\ \frac{5\pi}{6},\ \frac{7\pi}{6},\ \frac{11\pi}{6}  

 π3, 2π3, 4π3, 5π3\frac{\pi}{3},\ \frac{2\pi}{3},\ \frac{4\pi}{3},\ \frac{5\pi}{3}  

 π4, 3π4, 5π4, 7π4\frac{\pi}{4},\ \frac{3\pi}{4},\ \frac{5\pi}{4},\ \frac{7\pi}{4}  

 0, π2, π, 3π20,\ \frac{\pi}{2},\ \pi,\ \frac{3\pi}{2}  

Tags

CCSS.HSF.TF.B.7

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