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.

Explanation:

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

Hence, the polar equation for the curve represented by the given cartesian equation y = 5 is r = 5cosecθ.