Question

How do you write the trigonometric form in complex form `5(cos((3pi)/4)+isin((3pi)/4)))`?

Answer 1

`color(maroon)(=> -3.5355 + 3.5355 i`

Explanation:

`5 (cos ((3pi)/4) + i sin ((3pi)/4))`

`=> 5 cos ((3pi)/4) + i 5 sin((3pi)/4)`

`color(maroon)(=> -3.5355 + 3.5355 i`