Question:
Polar Equations : Identify the curves by finding a cartesian equation for the curve; Find a polar equation for the curve represented by the given cartesian equation.
Solve step by step showing all work and give answer.
I) Identify the curves, (16-20) by finding a cartesian equation for the curve.
You know, using x=rcostheta, y = rsintheta, etc.....
2) rcos(theta)=1
3) r=2sin(theta) + 2cos(theta)
4) r=tan(theta)sec(theta)
II)Find a polar equation for the curve represented by the given cartesian equation for 22, 26, and 24.
1) x^2+y^2=9
2) x^2-y^2=1
3) x + y = 9