Question

How do you write the complex number `z = 8 − 8i` in trigonometric form?

Answer 1

`= 8 sqrt 2 e^(-i pi / 4 )`

Explanation:

`8 - 8i`

`= 8(1 - i)`

`= 8 sqrt 2( 1/sqrt 2 - i/sqrt 2)`

`= 8 sqrt 2 e^(-i pi / 4 )`