5.2 Trigonometric Functions

Sketch an angle $\theta$ in standard position such that  $\theta$  has the least positive measure and the point (-2, 5) is on the terminal side of  $\theta$ . 

• 
• 
• 
• 

Sketch an angle of $\theta$ in standard position such that $\theta$ has the least positive measure and the given point ( -2,-7) is on the terminal side of
 $\theta$ .

• 
• 
• 
• 

Suppose that $\theta$  is in standard position and the given point is on the terminal side of $\theta$ . Give the exact value of the indicated trig function for $\theta$ .

( 6, 8); Find cos $\theta$    

•  $\frac{3}{4}$  

•  $\frac{3}{5}$  

•  $\frac{4}{5}$  

•  $\frac{4}{3}$  

Suppose that $\theta$ is in standard position and the given point is on the terminal side of  $\theta$ . Give the exact value of the indicated trig function for  $\theta$ . 
( -3, -2); Find tan  $\theta$ . 
 

•  $\frac{2}{3}$  

•  $\frac{3}{2}$  

•  $-\frac{1}{2}$  

•  $-\frac{3}{4}$  

Suppose that $\theta$ is in standard position and the given point is on the terminal side of $\theta$ . Give the exact value of the indicated trig function for $\theta$ . 
( -20, 48); Find sin $\theta$    
 

•  $-\frac{5}{13}$  

•  $-\frac{12}{13}$  

•  $\frac{12}{13}$  

•  $\frac{5}{13}$  

If r is a positive number and the point (x,y) is in the indicated quadrant, decide whether the given ratio is positive or negative.
   IV, $\frac{x}{y}$ 

• Positive

• Negative

If r is a positive number and the point (x,y) is in the indicated quadrant, decide whether the given ratio is positive or negative.
 II, $\frac{r}{y}$ 

• Positive

• Negative

If r is a positive number and the point (x,y) is in the indicated quadrant, decide whether the given ratio is positive or negative.
III, $\frac{x}{r}$         

• Positive

• Negative

Evaluate the equation.
cos $90\degree$ 

•  $\frac{\sqrt{3}}{2}$  

•  $1$  

•  $0$  

•  $Undefined$  

Evaluate the expression.

sin  $\left(-180\degree\right)$  

• Undefined

• 1

• -1

• 0