Find a polar equation for the curve represented by the given Cartesian equation. y = 5
We will be using the concept of the conversion of cartesian coordinates to polar coordinates to solve this.
Answer: The polar equation for the curve represented by the given cartesian equation y = 5 is r = 5cosecθ.
Let's solve this step by step.
Given that, y = 5
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).
Substitute the value of y = rsinθ in y = 5
rsinθ = 5
r = 5/sinθ
r = 5cosecθ