To find: The polar equation is
Answer to Problem 11RE
The polar equation may or may not be symmetric about the line
Explanation of Solution
Given information:
The given polar equation is
Calculation:
Calculate the polar equation,
This shows that the function is symmetric about the polar axis.
Now, check the symmetry about the origin.
Therefore,
Therefore, this test fails.
Therefore, the function may or may not be symmetric about the origin.
For this let us replace
Therefore,
Therefore, this test fails.
Therefore, the polar equation may or may not be symmetric about the line
The graph of this function is as follows figure-(1) shows.
Figure-(1)
Therefore, the polar equation may or may not be symmetric about the line
Chapter 9 Solutions
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