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

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