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

B

Step-by-step explanation:

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

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

Distributing through the parenthesis gives you

which simplifies to

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

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