Find a Polar Equation for the Curve represented by the given Cartesian Equation. y = 6
We will be using the concept of the cartesian coordinate to solve this.
Answer: The polar equation for the curve represented by the given cartesian equation y = 6 is r = 6cosecθ.
Let's solve this step by step.
Given that, y = 6.
We know the cartesian coordinate of a point P can be (x,y), and the polar coordinates of the same point can be (rcosθ, rsinθ).
y = 6
Substitute the value of y.
rsinθ = 6
r = 6/sinθ
r = 6cosecθ