Find the Polar, General Polar, Exponential and General Exponential Form of -5+9j

tabita57i

tabita57i

Answered question

2021-01-04

Find the Polar, General Polar, Exponential and General Exponential Form of 5+9j

Answer & Explanation

Pohanginah

Pohanginah

Skilled2021-01-05Added 96 answers

Given,
z=5+9i
where,
rcos(θ)=5 (1)
rsin(θ)=9 (2)
r2(cos2(θ)+sin2(θ))=25+81
r2=106
r=106
From equation (1) and (2)
sin(θ)cos(θ)=95
tan(θ)=95
polar form of number
z=r(cos(θ)+isin(θ)
Put values in equation
z=106(cos(tan{1}(95))+isin(tan1(95)))
Exponential form
z=eriθ
z=106eitan1(95)

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