Question

Determine the graph of the polar equation r = 25/10-25 sin(theta).

Answer 1

graph A

Explanation:

A graphing calculator can plot this function for you.

If you divide numerator and denominator by 25, you get ...

r = 1/(0.4 -sin(θ))

This will have asymptotes at θ = arcsin(0.4). At those values of θ, the value of r will change sign, so the graph cannot be a parabola or ellipse.

The graph of the hyperbola is the appropriate choice.