Test Objectives
• Demonstrate the ability to find reference angles
• Demonstrate the ability to find angle measures with special angles
Trigonometric Functions of Non-Acute Angles Practice Test:

#1:

Instructions: Find the reference angle for each angle.

$$a)\hspace{.1em}{-}520°$$

$$b)\hspace{.1em}575°$$

#2:

Instructions: Find the reference angle for each angle.

$$a)\hspace{.1em}295°$$

$$b)\hspace{.1em}{-}275°$$

#3:

Instructions: Find the exact value of each expression.

$$a)\hspace{.1em}\text{tan}(-225°)$$

$$b)\hspace{.1em}\text{csc}\hspace{.1em}(675°)$$

#4:

Instructions: Find the exact value of each expression.

$$a)\hspace{.1em}\text{sec}(-510°)$$

$$b)\hspace{.1em}\text{cot}(-840°)$$

#5:

Instructions: Evaluate each.

$$a)\hspace{.1em}\text{cos}^2 \hspace{.2em}60° + \text{sec}^2 \hspace{.2em}150° - \text{csc}^2 \hspace{.2em}210°$$

$$b) \hspace{.1em}2\text{tan}^2 \hspace{.2em}120° + 3\text{sin}^2 \hspace{.2em}150° - \text{cos}^2 \hspace{.2em}180°$$

Written Solutions:

#1:

Solutions:

$$a)\hspace{.1em}20°$$

$$b)\hspace{.1em}35°$$

#2:

Solutions:

$$a)\hspace{.1em}65°$$

$$b)\hspace{.1em}85°$$

#3:

Solutions:

$$a)\hspace{.1em}\text{tan}(-225°)=-1$$

$$b)\hspace{.1em}\text{csc}\hspace{.1em}(675°)=-\sqrt{2}$$

#4:

Solutions:

$$a)\hspace{.1em}\text{sec}(-510°)=-\frac{2\sqrt{3}}{3}$$

$$b)\hspace{.1em}\text{cot}(-840°)=\frac{\sqrt{3}}{3}$$

#5:

Solutions:

$$a)\hspace{.1em}{-}\frac{29}{12}$$

$$b)\hspace{.1em}\frac{23}{4}$$