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Question 1 of 5Find the exact value.
$$\text{cos}\hspace{.1em}θ=-\frac{\sqrt{110}}{11}$$ θ is in quadrant II.
Find cos 2θ.
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{cos}\hspace{.1em}2θ=-\frac{11\sqrt{10}}{20}$$
B
$$\text{cos}\hspace{.1em}2θ=-\frac{9\sqrt{10}}{20}$$
C
$$\text{cos}\hspace{.1em}2θ=\frac{9}{11}$$
D
$$\text{cos}\hspace{.1em}2θ=-\frac{2\sqrt{10}}{9}$$
E
$$\text{cos}\hspace{.1em}2θ=\frac{11}{9}$$
Question 2 of 5Find the exact value.
$$\text{tan}\hspace{.1em}θ=-\frac{1}{2}$$ θ is in quadrant II.
Find cos 2θ.
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{cos} \hspace{.1em} 2θ = \frac{\sqrt{2}}{3}$$
B
$$\text{cos} \hspace{.1em} 2θ = -\frac{4}{3}$$
C
$$\text{cos} \hspace{.1em} 2θ = \frac{\sqrt{5}}{3}$$
D
$$\text{cos} \hspace{.1em} 2θ = -\frac{4}{5}$$
E
$$\text{cos} \hspace{.1em} 2θ = \frac{3}{5}$$
Question 3 of 5Complete the identity.
$$\text{cos}^2 x \hspace{.1em}\text{sin}\hspace{.1em}2x \hspace{.1em}\text{sec}\hspace{.1em}x=$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\frac{\text{cos}\hspace{.1em}2x + 1}{\text{csc}\hspace{.1em}x}$$
B
$$\frac{\text{sin}\hspace{.1em}2x + 1}{\text{cot}\hspace{.1em}x}$$
C
$$\text{sin}^2 x + \text{cot}^2 x$$
D
$$2\text{sin}^2 x - \text{tan}^2 x$$
E
$$1 - \text{cot}^2 x$$
Question 4 of 5Find the exact value.
$$-5\hspace{.1em}\text{sin}\hspace{.1em}\frac{π}{12}\hspace{.1em}\text{cos}\hspace{.1em}\frac{5π}{12}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$-\frac{15}{4}$$
B
$$-\frac{5}{4}$$
C
$$\frac{5\sqrt{3}}{4}$$
D
$$\frac{-10 + 5\sqrt{3}}{4}$$
E
$$\frac{\sqrt{7}}{4}$$
Question 5 of 5Find the exact value.
$$-3\text{sin}\hspace{.1em}15° + 3 \text{sin}\hspace{.1em}285°$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$-\frac{3\sqrt{2}}{2}$$
B
$$-\frac{3\sqrt{6}}{2}$$
C
$$\frac{3\sqrt{2}}{2}$$
D
$$\frac{3\sqrt{6}}{2}$$
E
$$\frac{1 + \sqrt{3}}{2}$$

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