Express the complex number in trigonometric form.
4i

Question:   Express in trigonometric form.

A few ways to express this is:

Choose the notation your class is using.

Step-by-step explanation:

is trigonometric form.

Distributing to terms inside the ( ) gives:

.

Our number has no real part so we are just trying to find and such that .

Since we want , we will have to (or -1).

This happens at .

This means .

So while this forces

The trigonometric form is .

Some people like to express this as which is way shorter.

Some people might also express this as .

4400

step-by-step explanation:

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)