Trig Functions of Any Angle

What is the measure of angle a in the triangle above?

• $30\degree$

• $45\degree$

• $60\degree$

• $90\degree$

What is the measure of angle b in the triangle above?

• $30\degree$

• $45\degree$

• $60\degree$

• $90\degree$

What is the measure of angle x in the triangle above?

• $30\degree$

• $45\degree$

• $60\degree$

• $90\degree$

Given point P (-5, 3) is on the terminal side of angle  $\theta$  , what is sin  $\theta$  ?

•  $\frac{3}{\sqrt{34}}$  

•  $\frac{-5}{\sqrt{34}}$  

•  $\frac{-3}{5}$  

•  $\frac{\sqrt{34}}{3}$  

Which is the reference angle $\theta\ '$  if  $\theta=-135\degree$  ?

•  $30\degree$  

•  $45\degree$  

•  $60\degree$  

•  $225\degree$  

Which is the reference angle $\theta\ '$  if  $\theta=\frac{11\pi}{3}$  ?

•  $\frac{\pi}{3}$  

•  $\frac{\pi}{4}$  

•  $\frac{\pi}{6}$  

•  $\frac{12\pi}{3}$  

 $\tan\left(-210\degree\right)=?$  

•  $\frac{1}{2}$  

•  $\frac{-\sqrt{3}}{2}$  

•  $\frac{1}{-\sqrt{3}}$  

•  $150\degree$  

 $\cos\left(\frac{4\pi}{3}\right)=?$  

•  $\frac{-1}{2}$  

•  $\frac{-\sqrt{3}}{2}$  

•  $-\sqrt{3}$  

•  $\frac{\pi}{3}$  

Using the triangle above,  $\tan\theta=$  ?

•  $\frac{4}{5}$ 

•  $\frac{3}{5}$ 

•  $\frac{4}{3}$ 

•  $\frac{3}{4}$ 

What is the measure of side x in the triangle above?

• 1

• 2

• 3

• 4