To find: The Cartesian equation for the given polar equation.
The Cartesian equation for the given polar equation is
Given information:
The given equation is
Formula used:
The formula to calculate the value of
The formula to calculate the value of
Calculation:
Divide the numerator and denominator by
Compare the above equation with
The focal axis is the line
When
When
The endpoints of the major axis are
Substitute
Substitute
In the Cartesian plane, the focal axis is the y -axis and the endpoints of the major axis are
Using the standard form of a vertical ellipse, the equation is as follows.
Therefore, the Cartesian equation for the given polar equation is
Chapter 8 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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