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Question 1 of 5Solve for 0 ≤ θ < 2π
$$-2 - 4\text{cos}^2 θ=-3 - 3\text{cos}^2 θ$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\left\{\frac{π}{6}, \frac{5π}{6}, \frac{7π}{6}, \frac{11π}{6}\right\}$$
B
$$\left\{0, \frac{π}{3}, π\right\}$$
C
$$\text{No Solution}$$
D
$$\{0, π\}$$
E
$$\{π\}$$
Question 2 of 5Solve for 0 ≤ θ < 2π
$$0=\text{csc}^2 θ - 1$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{No Solution}$$
B
$$\left\{\frac{π}{2}\right\}$$
C
$$\left\{\frac{7π}{4}, \frac{11π}{6}\right\}$$
D
$$\left\{\frac{3π}{2}\right\}$$
E
$$\left\{\frac{π}{2}, \frac{3π}{2}\right\}$$
Question 3 of 5Solve for 0 ≤ θ < 2π
$$\text{csc}\hspace{.1em}θ + \text{cot}^2 θ=1$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\left\{\frac{π}{4}, \frac{5π}{4}\right\}$$
B
$$\text{No Solution}$$
C
$$\left\{\frac{π}{2}, \frac{7π}{6}, \frac{11π}{6}\right\}$$
D
$$\left\{\frac{5π}{4}\right\}$$
E
$$\left\{\frac{7π}{6}, \frac{11π}{6}\right\}$$
Question 4 of 5Solve for 0 ≤ θ < 2π
$$2\text{cot}\hspace{.1em}θ - \text{csc}^2 θ=0$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\left\{\frac{π}{4}, \frac{5π}{4}\right\}$$
B
$$\left\{\frac{3π}{4}, \frac{7π}{4}\right\}$$
C
$$\left\{0, \frac{5π}{4}\right\}$$
D
$$\left\{0, \frac{π}{4}\right\}$$
E
$$\text{No Solution}$$
Question 5 of 5Solve for 0 ≤ θ < 2π
$$\text{csc}\hspace{.1em}θ=\sqrt{2}\text{cot}\hspace{.1em}θ$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\text{No Solution}$$
B
$$\left\{\frac{π}{4}, \frac{7π}{4}\right\}$$
C
$$\left\{\frac{π}{4}\right\}$$
D
$$\left\{\frac{π}{4}, \frac{3π}{4}\right\}$$
E
$$\left\{\frac{π}{4}, \frac{3π}{4}, \frac{5π}{4}, \frac{7π}{4}\right\}$$

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