Write in Cartesian coordinates the parametric equations of the curve with polar equationr(t)=<sqrtt,pi/8>.

Jason Farmer 2021-09-05 Answered
Write in Cartesian coordinates the parametric equations of the curve with polar equation r(t)=<t,π8>.
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Expert Answer

brawnyN
Answered 2021-09-06 Author has 91 answers

Given:
r(t)=<t,π8>
r(t)=<r,θ>
The <x,y<rcosΘ,rsinθ In Cartesian coordinates
r=t,θ=π8
x=rcosθ=tcos(π8)
y=rsinθ=tsin(π8)
The cartesian coordinates are
<x,y<tcos(π8),tsin(π8)>

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