Reference Angles & Trig Functions of Any Angle

The point  $P\left(5,\ 12\right)$  is on the terminal side of an angle. Find the exact  value of the sine of the angle.

•  $\frac{12}{13}$  

•  $\frac{13}{12}$  

•  $\frac{12}{5}$  

•  $\frac{5}{13}$  

Tags

CCSS.HSF.TF.A.2

The point  $P\left(-3,\ 4\right)$  is on the terminal side of an angle. Find the exact value of the tangent of the angle.

•  $\frac{4}{3}$  

•  $-\frac{4}{5}$  

•  $-\frac{3}{4}$  

•  $-\frac{4}{3}$  

Tags

CCSS.HSF.TF.A.2

The point  $P\left(8,\ 15\right)$  is on the terminal side of an angle. Find the exact  value of the secant of the angle.

•  $\frac{8}{17}$  

•  $\frac{15}{17}$  

•  $\frac{17}{8}$  

•  $\frac{17}{15}$  

Tags

CCSS.HSF.TF.A.2

The point  $P\left(-3,\ 4\right)$  is on the terminal side of an angle. Find the exact value of the cosine of the angle.

•  $\frac{3}{5}$  

•  $-\frac{5}{3}$  

•  $-\frac{3}{5}$  

•  $-\frac{4}{5}$  

Tags

CCSS.HSF.TF.A.2

Find the reference angle for 170 degrees.

• $10\degree$

• $20\degree$

• $30\degree$

• $80\degree$

Find the reference angle for 205 degrees.

•  $25\degree$ 

•  $35\degree$ 

•  $65\degree$ 

•  $70\degree$ 

Tags

CCSS.HSF.TF.B.7

What is the reference angle for  $-250\degree$ ?

•  $110\degree$ 

•  $85\degree$ 

•  $75\degree$ 

•  $70\degree$ 

What is the reference angle for $-300\degree$ ?

•  $30\degree$ 

•  $60\degree$ 

•  $-60\degree$ 

•  $120\degree$ 

What is the reference angle for $\frac{5\pi}{4}$ ?

•  $\frac{\pi}{4}$ 

•  $\frac{\pi}{2}$ 

•  $\frac{\pi}{3}$  
  

•  $\frac{\pi}{6}$  
  

Find the reference angle for $\frac{11\pi}{5}$ .

•  $\frac{\pi}{2}$ 

•  $\frac{\pi}{3}$ 

•  $\frac{\pi}{4}$  
  

•  $\frac{\pi}{5}$