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

1 Answer
Jun 14, 2018

Answer:

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)#