Mathematics: Convert 6cis (5pi)/6 to rectangular form. a. 3 square root of 3 + 3i b. -3 square root of 3 +3i c. 3 square root of 3 - 3i d. -3 square root of 3 - 3i e. 3 - 3 square root of 3 i

3/5 = .6 2/3 = .67 **rounded 7/8 = .88**rounded2 3/4 = 2.754/9 = 0.4413/15 = .87 **rounded...

Convert 6cis (5pi)/6 to rectangular form. a. 3 square

5theth

08.01.2022

Step-by-step explanation:

I love these! Ok, the expanded formula you need for this is

$6(cos\frac{5\pi }{6}+sin\frac{5\pi }{6}i)$

From the unit circle we get the cos and sin of that angle and fill them in:

$6(-\frac{\sqrt{3} }{2}+\frac{1}{2}i)$

Distributing through the parenthesis gives you

$-\frac{6\sqrt{3} }{2}+\frac{6}{2}i$

which simplifies to

$-3\sqrt{3}+3i$

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