Test the equation for symmetry with respect to the specified
Test the equation for symmetry with respect to the specified axis, line, or pole. r = 4 + 2 sin theta; the line theta = pi/2
Solution
12. r=4+2sin theta
To test the symmetry with respect to the line theta=pi/2 we nhave to plug theta=-theta and r=-4
-r=4+2sin(-theta)
-r= 4-2sin theta
r=-4 + 2sin theta
And this equation is not same as the original equation. Hence the given equation is not symmetric to line theta=pi/2
