Question

Convert the polar representation of this complex number into its standard form.

Answer 1

@ganeshie8 @JoannaBlackwelder @Kainui @perl

Answer 2

@Lyrae @dtan5457

Answer 3

the standard form i believe is:
a + bi

Answer 4

so all you need to do is distribute and simplify

Answer 5

so 2cos 7pi/6 +2i sin 7pi/6

Answer 6

how do i simplify @perl

Answer 7

now you can use a unit circle or a calculator to evaluate cos(7pi/6)

Answer 8

that is equal to -sqrt(3)/2

Answer 9

so I have -root3 and i-root3?

Answer 10

cos(7pi/6) = -sqrt(3)/2
sin(7pi/6) = -1/2

2cos 7pi/6 +2i sin 7pi/6
= 2(-sqrt(3)/2) + 2i (-1/2)
= -sqrt(3) - i

Answer 11

I'm lost haha @perl

Answer 12

OH OH OH I FOLLOW

Answer 13

I simply substituted :)

Answer 14

oh thats it! thank you!