in the equation r= 5/(sin theta +2cos theta) the letters r and theta represent polar coordinates. Write the equivalent equation using rectangular coordinates.
Thanks :)
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1 answer

recall:
sinØ = y/r and cosØ = x/r
so:
r= 5/(sin theta +2cos theta)
r = 5/(y/r + 2x/r)
r = 5/((2x+ y)/r)
r = 5r/(2x + y)
1 = 5/(2x+y)
2x + y = 5 < a straight line
proof:
http://www.wolframalpha.com/input/?i=polar+plot+r%3D+5%2F(sin+theta+%2B2cos+theta) 👍
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answered by Reiny
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