QUESTION 11 Test the equation for symmetry with respect to t

QUESTION 11 Test the equation for symmetry with respect to the specified axis, line, or pole r-6 + 2 cos : the pole o Symmetric with respect to the pole May or may not be symmetric with respect to the pole

Solution

r = 6+2cos(theta)

To check symmetry about pole :-

Replacing r with -r

-r = 6+2cos(theta)

r = -6 - 2cos(theta)

changes the equation and fails the test. The graph may or may not be symmetric with respect to the pole.