Pedal equation of a polar curve
Pedal equation of a polar curve is expressed in terms of ‘p’ and ‘r’. It is also called as the p-r equation of the polar curve. Let r=f(θ) be the equation of a polar curve. To obtain the pedal equation of the polar curve r=f(θ), we have to eliminate ‘φ’ and ‘θ’ from the equations
Steps to follow to find the pedal equation of the polar curve
Topic
Pedal equation of a polar curve
Problems
- Find the pedal equation of the curve r^m=a^m (cosm(theta)+sinm(theta)).
- Find the pedal equation of 2a/r=1+cos(theta)
- Obtain the pedal equation of the curve r^n=a^n cos(n theta)
- Find the pedal equation of r^n=a (1+cos(n theta))
- Find pedal equation of the curve r=a e^ ((theta)cot(alpha))
- Find the pedal equation of 2a/r=1-cos(theta)