Question

How do you find the trigonometric form of a complex number?

Answer 1

As detailed below.

Explanation:

Trigonometric Form of a Complex Number. The trigonometric form of a complex number z = a + bi is. z = r(cos θ + i sin θ), where r = |a + bi| is the modulus of z, and tan θ = b. a.

Let the complex number be `z = (x + i y)`

Polar form is `(r, theta)`

`r = | sqrt(x^2 + y^2)|`

`theta = arctan (y/x)`

Trigonometric form `= r (cos theta + i sin theta)`