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Question 1 of 5: Find the exact value:
$$\text{cos}\left(-\frac{π}{12}\right)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{\sqrt{6}- \sqrt{2}}{4}$$
B
$$\frac{\sqrt{6}+ \sqrt{2}}{4}$$
C
$$\frac{-\sqrt{6}- \sqrt{2}}{4}$$
D
$$\sqrt{3}- 2$$
E
$$\frac{\sqrt{2}}{2}$$
Question 2 of 5: Find the exact value:
$$\text{cos}\frac{4 π}{9}\text{cos}\frac{7π}{36}+ \text{sin}\frac{4π}{9}\text{sin}\frac{7π}{36}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$-1$$
B
$$0$$
C
$$1$$
D
$$\frac{\sqrt{2}}{2}$$
E
$$\sqrt{3}+ 2$$
Question 3 of 5: Simplify:
$$\text{cos}\hspace{.1em}x \hspace{.1em}\text{cos}\hspace{.1em}6x - \hspace{.1em}\text{sin}\hspace{.1em}x \hspace{.1em}\text{sin}\hspace{.1em}6x$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{cos}\hspace{.1em}7x$$
B
$$\text{cos}\hspace{.1em}(-9x) $$
C
$$\text{sin}\hspace{.1em}7x$$
D
$$\text{sin}\hspace{.1em}(-5x)$$
E
$$\text{cos}\hspace{.1em}(-5x)$$
Question 4 of 5: Find cos(s + t):
$$\text{cos}\hspace{.1em}s=\frac{\sqrt{2}}{4}$$ $$\text{sin}\hspace{.1em}t=-\frac{\sqrt{5}}{6}$$ $$\text{s, t are in QIV}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{\sqrt{5}- \sqrt{2}}{4}$$
B
$$\frac{\sqrt{29}+ \sqrt{61}}{29}$$
C
$$\frac{\sqrt{15}- \sqrt{5}}{17}$$
D
$$\frac{\sqrt{3}}{9}$$
E
$$\frac{-\sqrt{70}+ \sqrt{62}}{24}$$
Question 5 of 5: Complete the identity:
$$1 + \text{cos}\hspace{.1em}2x - \text{cos}^2 x=$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$-\text{sec}\hspace{.1em}x$$
B
$$-2 \hspace{.1em}\text{sin}^2 x$$
C
$$\text{cos}^2 x$$
D
$$\frac{1}{\text{sin}^2 x}$$
E
$$-2 \hspace{.1em}\text{cot}^2 x$$

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