How do I find the trigonometric form of the complex

Duncan Reed

Duncan Reed

Answered question

2022-01-29

How do I find the trigonometric form of the complex number 333i.

Answer & Explanation

search633504

search633504

Beginner2022-01-30Added 16 answers

In trigonometric form: 6(cos5.236+isin5.236)
Explanation:
Let Z=a+ib;Z=333i;a=3,b=33;
Z is in 4-th quadrant. Modulus |Z|=a2+b2
=(32+(33)2)=36=6
tanα=|ba|=333or tanα=3
α=tan1(3)1.0472
θ is on 4-th quadrant θ=2π1.04725.236
Argument, θ=5.236. In trigonometric form expressed as
|Z|(cosθ+isinθ)=6(cos5.236)

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?