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:

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

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