Question

How do you write the trigonometric form in complex form `2(cos(pi/2+isin(pi/2))`?

Answer 1

`z=2i`

Explanation:

The first step is to evaluate the trigonometric part.

`color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(cos(pi/2)=0" and " sin(pi/2)=1)color(white)(a/a)|)))`

`rArrcos(pi/2)+isin(pi/2)=0+i`

`rArr2(cos(pi/2)+isin(pi/2))=2(0+i)=2i`