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

Haven

Haven

Answered question

2021-06-11

Convert polar equation to a rectangular equation. Then determine the graph’s slope and y-intercept.
rsin(0π4)=2

Answer & Explanation

joshyoung05M

joshyoung05M

Skilled2021-06-12Added 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
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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