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

 Test the equation for symmetry with respect to the specified axis, line, or pole. r = 4 + 2 sin theta; the line theta = pi/2Solution12. r=4+2sin theta To test

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