Search Header Logo

Solving Trig Equations with Multiple Angles

Authored by Nicole Yumori

Mathematics

9th - 12th Grade

CCSS covered

Used 18+ times

Solving Trig Equations with Multiple Angles
AI

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve equation for  0≤θ<2π0\le\theta<2\pi  .
 −3=cot⁡2θ−6-3=\cot^2\theta-6  

 θ=π6,7π4,11π6\theta=\frac{\pi}{6},\frac{7\pi}{4},\frac{11\pi}{6}  

 θ=7π6,5π4,11π6\theta=\frac{7\pi}{6},\frac{5\pi}{4},\frac{11\pi}{6}  

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

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

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve equation for  0≤θ<2π0\le\theta<2\pi  .
 1=5−8cos⁡θ1=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 SELECT QUESTION

5 mins • 1 pt

Find the first two non-negative solutions in radians

2cos(3x)+4=5

π9\frac{\pi}{9}

5π6\frac{5\pi}{6}

π3\frac{\pi}{3}

5π9 \frac{5\pi}{9\ }

π18\frac{\pi}{18}

Tags

CCSS.HSF.TF.B.7

4.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Find the first two non-negative solutions in radians

5π3\frac{5\pi}{3}

4π3\frac{4\pi}{3}

2π3\frac{2\pi}{3}

5π6\frac{5\pi}{6}

8π3\frac{8\pi}{3}

5.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Find the first two non-negative solutions in radians.  2cos⁡(x3)+3=02\cos\left(\frac{x}{3}\right)+\sqrt{3}=0  

 5π2\frac{5\pi}{2}  

 5π6\frac{5\pi}{6}  

 5π18\frac{5\pi}{18}  

 7π2\frac{7\pi}{2}  

 7π6\frac{7\pi}{6}  

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

 tan⁡(2x)=−1\tan\left(2x\right)=-1  

Find the first two non-negative solutions in radians.

 3π4\frac{3\pi}{4}  

 7π4\frac{7\pi}{4}  

 3π8\frac{3\pi}{8}  

 7π8\frac{7\pi}{8}  

 3π2\frac{3\pi}{2}  

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

 5cos⁡θ +2=05\cos\theta\ +2=0  
Solve on the interval [0, 360) Round to the nearest tenth of a degree.

 66.4°66.4\degree  

 113.6°113.6\degree  

 246.4°246.4\degree  

 293.6°293.6\degree  

Tags

CCSS.HSF.TF.B.7

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Microsoft

Continue with Microsoft

or continue with

Facebook

Facebook

Apple

Apple

Others

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?