How do you express the complex number in trigonometric form:

Gavin Frye

Gavin Frye

Answered question

2022-01-30

How do you express the complex number in trigonometric form: 1(3)i?

Answer & Explanation

Kudusind

Kudusind

Beginner2022-01-31Added 11 answers

to convert to trigonometric form that is r(cosθ+isinθ) where
- r=x2+y2
- θ=tan1(yx)π<θπ
Here x=1and y=3
r=12+(3)2=2
θ=tan1(3)=π3
2(cos(π3)+isin(π3))
=2(cos(π3)isin(π3))
13i=2(cos(π3)isin(π3))

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