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.

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

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


#2:

Instructions: Find the exact value of each trigonometric function.

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

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


#3:

Instructions: Find the exact value of each trigonometric function.

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

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


#4:

Instructions: Find the exact value of each trigonometric function.

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

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


#5:

Instructions: Find the exact value of each trigonometric function.

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

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


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:

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

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