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

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$$-11\text{sin}\left(2 θ + \frac{4π}{3}\right)=-4\sqrt{2}- 3\text{sin}\left(2 θ + \frac{4π}{3}\right)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\left\{\frac{11π}{24}, \frac{35π}{24}, \frac{19π}{24}, \frac{41π}{24}\right\}$$
B
$$\left\{\frac{11π}{24}, \frac{17π}{24}, \frac{35π}{24}, \frac{41π}{24}\right\}$$
C
$$\left\{\frac{11π}{24}, \frac{41π}{24}\right\}$$
D
$$\left\{\frac{π}{12}, \frac{11π}{24}, \frac{17π}{24}, π\right\}$$
E
$$\text{No Solution}$$
Question 5 of 5: Solve for 0 ≤ θ < 2π

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$$\frac{-8 + \sqrt{2}}{4}+ \text{sin}\left(\frac{θ}{3}+ \frac{2π}{3}\right)=-2 + \frac{3}{2}\text{sin}\left(\frac{θ}{3}+ \frac{2π}{3}\right)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\left\{\frac{π}{4}\right\}$$
B
$$\left\{0, \frac{5π}{12}, π, \frac{13π}{12}\right\}$$
C
$$\left\{\frac{43π}{24}, \frac{47π}{24}\right\}$$
D
$$\text{No Solution}$$
E
$$\left\{\frac{π}{4}, \frac{43π}{24}\right\}$$

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