To calculate: To compare the rectangular equation of the line
Answer to Problem 63E
Rectangular coordinate system is simpler and easier to study lines
Explanation of Solution
Given: Rectangular equation of line is
Formula Used:
A polar equation is any equation that describes a relation between r and θ , where r represents the distance from the pole (origin) to a point on a curve, and θ represents the counter-clockwise angle made by a point on a curve, the pole, and the positive x-axis.
Calculation:
Given rectangular equation of line as follows:
Polar equation is given as
Now,
Substituting the values to get the value of
Now,
In particular,
Hence, rectangular coordinate system is much simpler to solve as well as study the lines.
Conclusion:
Hence, Rectangular coordinate system is simpler and easier to study lines
Chapter 8 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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