Solve Trig Equations - Warm Up

Select the reference angle that solves the following:

 $\sin\theta=\frac{1}{2}$  

•  $\frac{\pi}{3}$  

•  $\frac{\pi}{6}$  

•  $-\frac{\pi}{6}$  

•  $\frac{5\pi}{6}$  

Tags

CCSS.HSF.TF.A.2

Select the reference angle that solves the following:

 $\cos\theta=\frac{\sqrt{2}}{2}$  

•  $\frac{\pi}{4}$  

•  $\frac{\pi}{3}$  

•  $\pi$  

•  $-\frac{\pi}{4}$  

Tags

CCSS.HSF.TF.A.2

Select all angles that solves the following:

 $\tan\theta=\sqrt{3}$  

•  $\frac{\pi}{3}$  

•  $\frac{2\pi}{3}$  

•  $\frac{4\pi}{3}$  

•  $\frac{5\pi}{3}$  

Tags

CCSS.HSF.TF.B.7

Consider the graph of  $y=\sin\left(2x\right)$  on the domain  $\left[0,\ 2\pi\right]$  . How many solutions does the equation  $\frac{1}{2}=\sin\left(2x\right)$  have in the given domain?

(a)  

Tags

CCSS.HSF.TF.B.7

Consider the graph of  $y=\tan x$  . Select all solutions to the equation  $1=\tan x$  .

• 0

•  $\frac{\pi}{4}$  

•  $\frac{3\pi}{4}$  

•  $\frac{5\pi}{4}$  

•  $\frac{7\pi}{4}$  

Tags

CCSS.HSF.TF.B.7