Question

Identify the type of curve given by the equation r = 4 * 13 * sin(θ)?

1) Circle
2) Ellipse
3) Hyperbola
4) Parabola

Answer 1

The equation r = 4 * 13 * sin(θ) represents an ellipse, which is a closed curve formed by the intersection of a plane with a cone.

Step-by-step explanation:

The equation r = 4 * 13 * sin(θ) represents an ellipse.

An ellipse is a closed curve that is formed by the intersection of a plane with a cone. It has two foci and the sum of the distances from any point on the ellipse to the two foci is constant. The equation for an ellipse is generally in the form of r = a * b, where a and b are constants.

In this case, the equation r = 4 * 13 * sin(θ) represents an ellipse with a major axis of length 52 units and a minor axis of length 26 units.