SOLUTION: Convert the given Cartesian equation to a polar equation. (Use the following as necessary: r and 𝜃.) y2 = 9x

Algebra ->  Trigonometry-basics -> SOLUTION: Convert the given Cartesian equation to a polar equation. (Use the following as necessary: r and 𝜃.) y2 = 9x      Log On


   

Question 1204937: Convert the given Cartesian equation to a polar equation. (Use the following as necessary: r and 𝜃.)
y2 = 9x
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


y%5E2+=+9x
In polar coordinates, x=r%2Acos%28theta%29+and y=r%2Asin%28theta%29

give equation can be rewritten as

%28r%2Asin%28theta%29%29%5E2=9r%2Acos%28theta%29

r%5E2%2Asin%5E2%28theta%29=9r%2Acos%28theta%29...simplify, divide by r
r%2Asin%5E2%28theta%29=9cos%28theta%29
r=%289cos%28theta%29%29%2Fsin%5E2%28theta%29

y%5E2=9x in polar coordinates is r=%289cos%28theta%29%29%2Fsin%5E2%28theta%29