- Demonstrate the ability to find exact trigonometric function values using the unit circle
#1:
Instructions: Find the exact value of each trigonometric function.
$$a)\hspace{.1em}\text{sec}\hspace{.15em}\frac{13π}{3}$$
$$b)\hspace{.1em}\text{tan}\hspace{.15em}-\frac{3π}{4}$$
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#2:
Instructions: Find the exact value of each trigonometric function.
$$a)\hspace{.1em}\text{csc}\hspace{.15em}\frac{35π}{6}$$
$$b)\hspace{.1em}\text{cot}\hspace{.15em}-\frac{11π}{4}$$
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#3:
Instructions: Find the exact value of each trigonometric function.
$$a)\hspace{.1em}\text{cot}\hspace{.15em}-4π$$
$$b)\hspace{.1em}\text{cos}\hspace{.15em}-\frac{13π}{4}$$
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#4:
Instructions: Find the exact value of each trigonometric function.
$$a)\hspace{.1em}\text{csc}\hspace{.15em}-\frac{5π}{4}$$
$$b)\hspace{.1em}\text{csc}\hspace{.15em}\frac{23π}{6}$$
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#5:
Instructions: Find the exact value of each trigonometric function.
$$a)\hspace{.1em}\text{tan}\hspace{.15em}-4π$$
$$b)\hspace{.1em}\text{cos}\hspace{.15em}-\frac{2π}{3}$$
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Written Solutions:
#1:
Solutions:
$$a)\hspace{.1em}2$$
$$b)\hspace{.1em}1$$
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#2:
Solutions:
$$a)\hspace{.1em}-2$$
$$b)\hspace{.1em}1$$
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#3:
Solutions:
$$a)\hspace{.1em}\text{Undefined}$$
$$b)\hspace{.1em}-\frac{\sqrt{2}}{2}$$
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#4:
Solutions:
$$a)\hspace{.1em}\sqrt{2}$$
$$b)\hspace{.1em}-2$$
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#5:
Solutions:
$$a)\hspace{.1em}0$$
$$b)\hspace{.1em}-\frac{1}{2}$$