Convert the following Complex Numbers into Polar and

Adolfo Hebert

Adolfo Hebert

Answered question

2022-03-26

Convert the following Complex Numbers into Polar and Exponential Form
a) 12+32i
b) 3i

Answer & Explanation

Pubephenedsjq

Pubephenedsjq

Beginner2022-03-27Added 11 answers

Step 1
a) Given
z=12+32i
r=(12)2+(32)2
r=14+34
r=1
θ=tan1(3212)
θ=π3
Polar form
z=r(cosθ+isinθ)
z=(cosπ3+isinπ3)
Exponential form
z=reiθ
z=eiπ3

Jamie Maldonado

Jamie Maldonado

Beginner2022-03-28Added 10 answers

Step 1
Given
z=3i
r=(3)2+(1)2r=2
θ=tan1(13)
θ=π6
Polar form z=r(cosθ+isinθ)
z=2[cos(π6)+isin(π6)]
Exponential form
z=reiθ
z=2eiπ6

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?