How can you tell if a graph is polar?

Solution: Identify the type of polar equation The polar equation is in the form of a limaçon, r = a – b cos θ. Since the equation passes the test for symmetry to the polar axis, we only need to evaluate the equation over the interval [0, π] and then reflect the graph about the polar axis.

Is the graph of the polar equation symmetric with respect to the pole?

If in the polar equation, (r, θ) can be replaced by (r, – θ)or(- r, Π – θ), the graph is symmetric with respect to the polar axis. If in the polar equation, (r, θ) can be replaced by (- r, θ)or(r, Π + θ), the graph is symmetric with respect to the pole.

How do you describe a polar graph?

A polar curve is a shape constructed using the polar coordinate system. Polar curves are defined by points that are a variable distance from the origin (the pole) depending on the angle measured off the positive x-axis.

How can you tell if a polar graph is symmetric?

Symmetry is a helpful tool when graphing in Polar Coordinates. If replacing (r, θ) by (r, −θ) gives an equivalent equation, the graph is symmetric with respect to the polar axis (the horizontal axis). For example, if r = cos θ and we replace θ by −θ, we get r = cos(−θ) = cos θ since cosine is an even function.

What are the axis called on a polar graph?

The horizontal axis (or x-axis) and vertical axis (or y-axis) intersect at the origin, the point labeled (0, 0). The points on this Cartesian plane are labeled with an ordered pair (x,y) where the two coordinates represent the positive or negative distance from the origin, parallel to their respective axis.

How do you read a polar chart?

Polar plots are published by each manufacturer for each model of boat with their various sail plans. It’s easy to read – move your finger radially along any true wind angle. Stop when you reach the boat performance line associated with the true wind speed you are experiencing.