polar graph equations

calculus II

what graph is r=asin(theta) or r=acos(theta)

circle

what graph is r = a ± a cos (theta) or r = a ± a sin (theta)

cardioid (heart shape)

what graph is r = a ± b cos (theta) or r = a ± b sin (theta)

limacon (heart shape)

what graph is r = a cos (n theta) or r = a sin (n theta)

rose (petals)

what graph is r² = ±a² sin (2 theta) or r² = a² cos (2 theta)

leminscate

what graph is r = theta or r = ae^{b theta}

spiral