Test Objectives
  • Demonstrate the ability to find exact trigonometric function values using the unit circle
Unit Circle Practice Test:

#1:

Instructions: Find the exact value of each trigonometric function.

$$a)\hspace{.1em}\text{sec}\hspace{.15em}\frac{13π}{3}$$

$$b)\hspace{.1em}\text{tan}\hspace{.15em}\left(-\frac{3π}{4}\right)$$


#2:

Instructions: Find the exact value of each trigonometric function.

$$a)\hspace{.1em}\text{csc}\hspace{.15em}\frac{35π}{6}$$

$$b)\hspace{.1em}\text{cot}\hspace{.15em}\left(-\frac{11π}{4}\right)$$


#3:

Instructions: Find the exact value of each trigonometric function.

$$a)\hspace{.1em}\text{cot}\hspace{.15em}\left(-4π\right)$$

$$b)\hspace{.1em}\text{cos}\hspace{.15em}\left(-\frac{13π}{4}\right)$$


#4:

Instructions: Find the exact value of each trigonometric function.

$$a)\hspace{.1em}\text{csc}\hspace{.15em}\left(-\frac{5π}{4}\right)$$

$$b)\hspace{.1em}\text{csc}\hspace{.15em}\frac{23π}{6}$$


#5:

Instructions: Find the exact value of each trigonometric function.

$$a)\hspace{.1em}\text{tan}\hspace{.15em}\left(-4π\right)$$

$$b)\hspace{.1em}\text{cos}\hspace{.15em}\left(-\frac{2π}{3}\right)$$


Written Solutions:

#1:

Solutions:

$$a)\hspace{.1em}2$$

$$b)\hspace{.1em}1$$


#2:

Solutions:

$$a)\hspace{.1em}{-}2$$

$$b)\hspace{.1em}1$$


#3:

Solutions:

$$a)\hspace{.1em}\text{Undefined}$$

$$b)\hspace{.1em}{-}\frac{\sqrt{2}}{2}$$


#4:

Solutions:

$$a)\hspace{.1em}\sqrt{2}$$

$$b)\hspace{.1em}{-}2$$


#5:

Solutions:

$$a)\hspace{.1em}0$$

$$b)\hspace{.1em}{-}\frac{1}{2}$$