Question

The polar equation r = 5 sin(θ) as a Cartesian equation.

Answer 1

The polar equation r = 5 sin(θ) can be converted to the Cartesian equation x = 5 sin(θ) cos(θ) and y = 5 sin^2(θ).

Step-by-step explanation:

The given polar equation is r = 5 sin(θ). To convert it into a Cartesian equation, we can use the relationships between polar and Cartesian coordinates:

• x = r cos(θ)
• y = r sin(θ)

Substituting the values, we get:

• x = 5 sin(θ) cos(θ)
• y = 5 sin^2(θ)

Therefore, the Cartesian equation is x = 5 sin(θ) cos(θ) and y = 5 sin^2(θ).