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Question 1 of 5: Find the value of each expression.
$$\text{sin}\hspace{.2em}θ=\frac{1}{4}$$ $$\text{tan}\hspace{.2em}θ > 0$$ Find tan θ and cot θ
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{tan}\hspace{.2em}θ=\sqrt{15}$$ $$\text{cot}\hspace{.2em}θ=-4$$
B
$$\text{tan}\hspace{.2em}θ=-\frac{4}{15}$$ $$\text{cot}\hspace{.2em}θ=-4$$
C
$$\text{tan}\hspace{.2em}θ=\frac{\sqrt{15}}{15}$$ $$\text{cot}\hspace{.2em}θ=\sqrt{15}$$
D
$$\text{tan}\hspace{.2em}θ=\sqrt{15}$$ $$\text{cot}\hspace{.2em}θ=-\frac{\sqrt{15}}{4}$$
E
$$\text{tan}\hspace{.2em}θ=-\sqrt{15}$$ $$\text{cot}\hspace{.2em}θ=-\frac{4 \sqrt{15}}{15}$$
Question 2 of 5: Find the value of each expression.
$$\text{cot}\hspace{.2em}θ=\frac{5}{3}$$ $$\text{sin}\hspace{.2em}θ > 0$$ Find cos θ and sin θ
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{cos}\hspace{.2em}θ=-\frac{\sqrt{5}}{37}$$ $$\text{sin}\hspace{.2em}θ=\frac{\sqrt{34}}{7}$$
B
$$\text{cos}\hspace{.2em}θ=\frac{5\sqrt{34}}{34}$$ $$\text{sin}\hspace{.2em}θ=\frac{3\sqrt{34}}{34}$$
C
$$\text{cos}\hspace{.2em}θ=\frac{\sqrt{34}}{3}$$ $$\text{sin}\hspace{.2em}θ=-\frac{5\sqrt{34}}{34}$$
D
$$\text{cos}\hspace{.2em}θ=-\frac{\sqrt{34}}{3}$$ $$\text{sin}\hspace{.2em}θ=-\frac{5\sqrt{34}}{34}$$
E
$$\text{cos}\hspace{.2em}θ=\frac{3}{5}$$ $$\text{sin}\hspace{.2em}θ=\frac{7\sqrt{34}}{3}$$
Question 3 of 5: Find the value of each expression.
$$\text{cot}\hspace{.2em}θ=-\frac{2}{5}$$ $$\text{sec}\hspace{.2em}θ < 0$$ Find csc θ and sin θ
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{csc}\hspace{.2em}θ=\frac{\sqrt{29}}{29}$$ $$\text{sin}\hspace{.2em}θ=-\sqrt{29}$$
B
$$\text{csc}\hspace{.2em}θ=\frac{2\sqrt{29}}{29}$$ $$\text{sin}\hspace{.2em}θ=-\frac{5\sqrt{29}}{29}$$
C
$$\text{csc}\hspace{.2em}θ=\frac{5\sqrt{29}}{29}$$ $$\text{sin}\hspace{.2em}θ=\frac{2\sqrt{29}}{29}$$
D
$$\text{csc}\hspace{.2em}θ=-\frac{5}{2}$$ $$\text{sin}\hspace{.2em}θ=\frac{\sqrt{29}}{2}$$
E
$$\text{csc}\hspace{.2em}θ=\frac{\sqrt{29}}{5}$$ $$\text{sin}\hspace{.2em}θ=\frac{5\sqrt{29}}{29}$$
Question 4 of 5: Find the value of each expression.
$$\text{cot}\hspace{.2em}θ=2$$ $$\text{cos}\hspace{.2em}θ < 0$$ Find sec θ and cos θ
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{sec}\hspace{.2em}θ=-\frac{\sqrt{5}}{15}$$ $$\text{cos}\hspace{.2em}θ=-2 \sqrt{5}$$
B
$$\text{sec}\hspace{.2em}θ=-\frac{\sqrt{5}}{5}$$ $$\text{cos}\hspace{.2em}θ=\frac{1}{2}$$
C
$$\text{sec}\hspace{.2em}θ=-\frac{\sqrt{5}}{2}$$ $$\text{cos}\hspace{.2em}θ=-\sqrt{5}$$
D
$$\text{sec}\hspace{.2em}θ=-\frac{\sqrt{5}}{2}$$ $$\text{cos}\hspace{.2em}θ=-\frac{2\sqrt{5}}{5}$$
E
$$\text{sec}\hspace{.2em}θ=-\frac{\sqrt{5}}{5}$$ $$\text{cos}\hspace{.2em}θ=-\sqrt{5}$$
Question 5 of 5: Find the value of each expression.
$$\text{sec}\hspace{.2em}θ=-5$$ $$\text{sin}\hspace{.2em}θ < 0$$ Find cos θ and sin θ
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{cos}\hspace{.2em}θ=-\frac{1}{5}$$ $$\text{sin}\hspace{.2em}θ=-\frac{2\sqrt{6}}{5}$$
B
$$\text{cos}\hspace{.2em}θ=\frac{2\sqrt{6}}{5}$$ $$\text{sin}\hspace{.2em}θ=-\frac{1}{5}$$
C
$$\text{cos}\hspace{.2em}θ=-\frac{5\sqrt{6}}{12}$$ $$\text{sin}\hspace{.2em}θ=\frac{1}{2}$$
D
$$\text{cos}\hspace{.2em}θ=2\sqrt{6}$$ $$\text{sin}\hspace{.2em}θ=-\frac{5\sqrt{6}}{12}$$
E
$$\text{cos}\hspace{.2em}θ=-\frac{\sqrt{6}}{5}$$ $$\text{sin}\hspace{.2em}θ=\frac{7}{5}$$

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