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Question 1 of 5Determine which is true:
$$\text{cot}\hspace{.15em}θ=-\frac{\sqrt{15}}{15}$$ $$\text{cos}\hspace{.15em}θ > 0$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{sin}\hspace{.15em}θ=-\frac{13}{7}$$
B
$$\text{cos}\hspace{.15em}θ=\frac{1}{4}$$
C
$$\text{tan}\hspace{.15em}θ=\sqrt{15}$$
D
$$\text{csc}\hspace{.15em}θ=4$$
E
$$\text{sec}\hspace{.15em}θ=-\frac{4 \sqrt{15}}{15}$$
Question 2 of 5Determine which is true:
$$\text{tan}\hspace{.15em}θ=\frac{4 \sqrt{6}}{5}$$ $$\text{cos}\hspace{.15em}θ < 0$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{sin}\hspace{.15em}θ=\frac{6}{11}$$
B
$$\text{cos}\hspace{.15em}θ=-\frac{\sqrt{11}}{5}$$
C
$$\text{csc}\hspace{.15em}θ=-\frac{14\sqrt{3}}{24}$$
D
$$\text{sec}\hspace{.15em}θ=-\frac{11\sqrt{6}}{24}$$
E
$$\text{cot}\hspace{.15em}θ=\frac{5 \sqrt{6}}{24}$$
Question 3 of 5Determine which is true:
$$\text{cot}\hspace{.15em}θ=- \frac{7 \sqrt{30}}{60}$$ $$\text{sin}\hspace{.15em}θ > 0$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{sin}\hspace{.15em}θ=\frac{2 \sqrt{15}}{13}$$
B
$$\text{cos}\hspace{.15em}θ=-\frac{13}{7}$$
C
$$\text{tan}\hspace{.15em}θ=\frac{2 \sqrt{30}}{7}$$
D
$$\text{csc}\hspace{.15em}θ=\frac{11 \sqrt{30}}{60}$$
E
$$\text{sec}\hspace{.15em}θ=-\frac{13}{7}$$
Question 4 of 5Perform each transformation:
Write in terms of sine and cosine.
Remove all quotients. $$\frac{\text{csc}\hspace{.15em}θ}{\text{cot}(-θ)}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$-\text{sec}\hspace{.15em}θ$$
B
$$-\text{cos}\hspace{.15em}θ$$
C
$$\text{tan}^2 \hspace{.15em}θ + \text{cos}\hspace{.15em}θ$$
D
$$\text{sin}^2 \hspace{.15em}θ - \text{cos}\hspace{.15em}θ$$
E
$$-\text{cot}\hspace{.15em}θ + 1$$
Question 5 of 5Perform each transformation:
Write in terms of sine and cosine.
Remove all quotients. $$(1 - \text{cos θ})(1 + \text{sec θ})$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$1 - \text{sin θ}$$
B
$$1$$
C
$$\text{sec θ}- \text{cos θ}$$
D
$$\text{sin θ}- \text{tan θ}$$
E
$$\frac{\sqrt{2}}{2}$$

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