Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 3 - 4 sin θ

Asked by maham237 @ 18/12/2020 in Mathematics viewed by 440 People

Origin only
x-axis only
y-axis only
No symmetry

Answered by maham237 @ 18/12/2020

By graphing the given equation

r = 4 - 3 sin θ

We find that the graph is symmetric about the y-axis
The graph of the given equation is attached below
------------------------------------------------------------------------------
Some information about the given equation:
the given equation is like the form of the Cardioid

A curve that is somewhat heart shaped. A cardioid can
be drawn by tracing the path of a point on
a circle as the circle
rolls around a fixed circle of the
same radius.
The equation is usually written in polar
coordinates.
Equations of Cardioid:

r = a ± a cos θ (horizontal)
or r = a ± a sin θ (vertical)

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 3 - 4 sin θ

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