convert the equation y^2 = 2x -x^2 into polar form.
convert the equation r = 2tan(theta) into rectangular form.
I'm not really sure what either of these mean. I vaguely understand polar coordinates, but I'm not sure how to convert equations back and forth between polar and rectangular. Please help =(
precalculus - Sharon Lin, Sunday, April 12, 2015 at 11:55pm
r = tan(θ)
√(x² + y²) = y/x
tan(θ) = y/x
r = √(x² + y²)
x² + y² = 4y²/x²
x^4 + x²y² = 4y²
x^4 + x²y² - 4y² = 0