Convert polar equation to a rectangular equation. Then determine the graph’s slope and y-intercept. r\sin(0-\frac{\pi}{4})=2

Haven 2021-06-11 Answered
Convert polar equation to a rectangular equation. Then determine the graph’s slope and y-intercept.
rsin(0π4)=2
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Expert Answer

joshyoung05M
Answered 2021-06-12 Author has 97 answers
Step 1
Given polar equation is:
rsin(0π4)=2
Step 2
To convert polar equation to a rectangular equation,
put r=x2+y2 and 0=yx
x2+y2sin(tan1(yx)π4)=2
sin(tan1(yx)π4)=2x2+y2
tan1(yx)π4=sin1(2x2+y2)
tan1(yx)=sin1(2x2+y2)+π4
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Jeffrey Jordon
Answered 2021-11-24 Author has 2313 answers

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