Find a polar equation for the curve represented by the given cartesian equation. y = 2

Solution:

Given cartesian equation y = 2

We can easily convert equations from cartesian coordinates to polar coordinates by making the substitutions

 x = rcos(θ) and y = rsin(θ)

Therefore, the equation y = 2 will be rewritten as rsin(θ) = 2→ r = 2/sin(θ)

Hence, we can write y = 2 as rsin(θ) = 2

Therefore, the polar equation for y = 2 is rsin(θ) = 2.

Find a polar equation for the curve represented by the given cartesian equation. y = 2

Summary:

The polar equation for the curve represented by the given cartesian equation. y = 2 is rsin(θ) = 2.