- Demonstrate the ability to find reference angles
- Demonstrate the ability to find angle measures with special angles
#1:
Instructions: Find the reference angle for each angle.
$$a)\hspace{.1em}{-}520°$$
$$b)\hspace{.1em}575°$$
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#2:
Instructions: Find the reference angle for each angle.
$$a)\hspace{.1em}295°$$
$$b)\hspace{.1em}{-}275°$$
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#3:
Instructions: Find the exact value of each expression.
$$a)\hspace{.1em}\text{tan}(-225°)$$
$$b)\hspace{.1em}\text{csc}\hspace{.1em}(675°)$$
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#4:
Instructions: Find the exact value of each expression.
$$a)\hspace{.1em}\text{sec}(-510°)$$
$$b)\hspace{.1em}\text{cot}(-840°)$$
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#5:
Instructions: Evaluate each.
$$a)\hspace{.1em}\text{cos}^2 \hspace{.2em}60° + \text{sec}^2 \hspace{.2em}150° - \text{csc}^2 \hspace{.2em}210°$$
$$b) \hspace{.1em}2\text{tan}^2 \hspace{.2em}120° + 3\text{sin}^2 \hspace{.2em}150° - \text{cos}^2 \hspace{.2em}180°$$
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Written Solutions:
#1:
Solutions:
$$a)\hspace{.1em}20°$$
$$b)\hspace{.1em}35°$$
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#2:
Solutions:
$$a)\hspace{.1em}65°$$
$$b)\hspace{.1em}85°$$
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#3:
Solutions:
$$a)\hspace{.1em}\text{tan}(-225°)=-1$$
$$b)\hspace{.1em}\text{csc}\hspace{.1em}(675°)=-\sqrt{2}$$
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#4:
Solutions:
$$a)\hspace{.1em}\text{sec}(-510°)=-\frac{2\sqrt{3}}{3}$$
$$b)\hspace{.1em}\text{cot}(-840°)=\frac{\sqrt{3}}{3}$$
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#5:
Solutions:
$$a)\hspace{.1em}{-}\frac{29}{12}$$
$$b)\hspace{.1em}\frac{23}{4}$$
