Asked by Tim

Convert x+2y=5 to polar form

Answers

Answered by Reiny
recall:
cosØ = x/r ---> x = rcosØ
sinØ = y/r ---> y = rsinØ

x+2y=5
rcosØ + 2rsinØ = 5

confirm
https://www.wolframalpha.com/input/?i=polar+graph+rcos%CE%B8+%2B+2rsin%CE%B8+%3D+5
Answered by Bosnian
x = r cos θ

y = r sin θ


x + 2 y = 5

becomes

r cos θ + 2 r sin θ = 5

r ( cos θ + 2 sin θ ) = 5

r = 5 / ( cos θ + 2 sin θ )
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