Solving Trig Equations with Multiple Angles

Solve equation for  $0\le\theta<2\pi$  .
 $-3=\cot^2\theta-6$  

•  $\theta=\frac{\pi}{6},\frac{7\pi}{4},\frac{11\pi}{6}$  

•  $\theta=\frac{7\pi}{6},\frac{5\pi}{4},\frac{11\pi}{6}$  

•  $\theta=\frac{\pi}{6},\frac{7\pi}{6}$  

•  $\theta=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}$  

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $1=5-8\cos\theta$  

•  $\theta=\frac{\pi}{6},\frac{\pi}{3},\frac{11\pi}{6}$  

•  $\theta=\frac{\pi}{6},\frac{11\pi}{6}$  

•  $\theta=\frac{\pi}{6}$  

•  $\theta=\frac{\pi}{3},\frac{5\pi}{3}$  

Tags

CCSS.HSF.TF.B.7

Find the first two non-negative solutions in radians

2cos(3x)+4=5

• $\frac{\pi}{9}$

• $\frac{5\pi}{6}$

• $\frac{\pi}{3}$

• $\frac{5\pi}{9\ }$

• $\frac{\pi}{18}$

Tags

CCSS.HSF.TF.B.7

Find the first two non-negative solutions in radians

• $\frac{5\pi}{3}$

• $\frac{4\pi}{3}$

• $\frac{2\pi}{3}$

• $\frac{5\pi}{6}$

• $\frac{8\pi}{3}$

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

•  $\frac{5\pi}{2}$  

•  $\frac{5\pi}{6}$  

•  $\frac{5\pi}{18}$  

•  $\frac{7\pi}{2}$  

•  $\frac{7\pi}{6}$  

Tags

CCSS.HSF.TF.B.7

 $\tan\left(2x\right)=-1$  

Find the first two non-negative solutions in radians.

•  $\frac{3\pi}{4}$  

•  $\frac{7\pi}{4}$  

•  $\frac{3\pi}{8}$  

•  $\frac{7\pi}{8}$  

•  $\frac{3\pi}{2}$  

Tags

CCSS.HSF.TF.B.7

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

•  $66.4\degree$  

•  $113.6\degree$  

•  $246.4\degree$  

•  $293.6\degree$  

Tags

CCSS.HSF.TF.B.7

 $10\cos\theta=9$  

Use a calculator to solve for both angles on the interval [0,360) Round to the nearest tenth of a degree.

•  $25.8\degree$  

•  $154.2\degree$  

•  $205.8\degree$  

•  $334.2\degree$  

Tags

CCSS.HSF.TF.B.7

 $5\sin\theta\ +1=0$  Use a calculator to solve for both values on the interval [0,360) Round your answer to the nearest tenth.

•  $11.5\degree$  

•  $168.5\degree$  

•  $191.5\degree$  

•  $348.5\degree$  

•  $-11.5\degree$  

Tags

CCSS.HSF.TF.B.7

What was Ms. Yumori's soccer jersey number at UC Riverside?

• 5

• 9

• 27

• None of the above

• How am I suppose to know?!?!?!?