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Question 1 of 5Write each in rectangular form.
$$3\left(\text{cos}\hspace{.1em}\frac{7π}{6}+ i \hspace{.1em}\text{sin}\hspace{.1em}\frac{7π}{6}\right)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$-\frac{\sqrt{66}}{2}+ \frac{\sqrt{22}}{2}i$$
B
$$-6i$$
C
$$6 - 6i$$
D
$$-\frac{3\sqrt{3}}{2}- \frac{3}{2}i$$
E
$$-\frac{\sqrt{19}}{2}+ \frac{\sqrt{57}}{2}i$$
Question 2 of 5Write each in rectangular form.
$$4(\text{cos}\hspace{.1em}0 + i \hspace{.1em}\text{sin}\hspace{.1em}0)$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$-3 - 3i\sqrt{3}$$
B
$$4$$
C
$$4 + i$$
D
$$3 + 3i\sqrt{3}$$
E
$$\frac{3\sqrt{3}}{2}- \frac{3}{2}i$$
Question 3 of 5Write each in polar form.
$$\frac{3\sqrt{2}}{2}- \frac{3\sqrt{6}}{2}i$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$2(\text{cos}\hspace{.1em}240° + i \hspace{.1em}\text{sin}240°)$$
B
$$\sqrt{29}(\text{cos}\hspace{.1em}180° + i \hspace{.1em}\text{sin}180°)$$
C
$$3\sqrt{2}(\text{cos}\hspace{.1em}300° + i \hspace{.1em}\text{sin}300°)$$
D
$$5(\text{cos}\hspace{.1em}315° + i \hspace{.1em}\text{sin}315°)$$
E
$$\sqrt{13}(\text{cos}\hspace{.1em}330° + i \hspace{.1em}\text{sin}330°)$$
Question 4 of 5Write each in polar form.
$$-\sqrt{3}- i$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$2\left(\text{cos}\hspace{.1em}\frac{7π}{6}+ i \hspace{.1em}\text{sin}\frac{7π}{6}\right)$$
B
$$3\left(\text{cos}\hspace{.1em}\frac{7π}{6}+ i \hspace{.1em}\text{sin}\frac{7π}{6}\right)$$
C
$$2\left(\text{cos}\hspace{.1em}\frac{11π}{6}+ i \hspace{.1em}\text{sin}\frac{11π}{6}\right)$$
D
$$\sqrt{6}\left(\text{cos}\hspace{.1em}\frac{2π}{3}+ i \hspace{.1em}\text{sin}\frac{2π}{3}\right)$$
E
$$\sqrt{6}\left(\text{cos}\hspace{.1em}\frac{4π}{3}+ i \hspace{.1em}\text{sin}\frac{4π}{3}\right)$$
Question 5 of 5Write each in polar form.
$$-3$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$\sqrt{3}(\text{cos}\hspace{.1em}π + i \hspace{.1em}\text{sin}\hspace{.1em}π)$$
B
$$-3(\text{cos}\hspace{.1em}π + i \hspace{.1em}\text{sin}\hspace{.1em}π)$$
C
$$3(\text{cos}\hspace{.1em}π + i \hspace{.1em}\text{sin}\hspace{.1em}π)$$
D
$$\sqrt{3}\left(\text{cos}\hspace{.1em}\frac{2π}{3}+ i \hspace{.1em}\text{sin}\hspace{.1em}\frac{2π}{3}\right)$$
E
$$\sqrt{3}\left(\text{cos}\hspace{.1em}\frac{3π}{2}+ i \hspace{.1em}\text{sin}\hspace{.1em}\frac{3π}{2}\right)$$

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