How do you express the complex number in trigonometric form:

segnverd3a

segnverd3a

Answered question

2022-01-30

How do you express the complex number in trigonometric form: -2i?

Answer & Explanation

sineurosi0f

sineurosi0f

Beginner2022-01-31Added 14 answers

The complex no. z=x+iy can be expressed in trigo. form rcisθ=r(cosθ+isinθ) by using the conversion formula
x=rcosθ,y=rsinθ,r=x2+y2.
Here, we have, x=0,y=2.
Clearly, r=2
Next pair of eqns. is 0=2cosθ,2=2sinθ.
cosθ=0,sinθ=1.θ=3π2
Reqd. form=2(cos3π2+sin3π2).

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?