Question

find equation of circle whose Cartesian equation are x=-3+2sin theta ,y=4+2 costheta​

Answer 1

Answer:

we can modify the given quantities

$(x + 3) = 2 \sin( \alpha ) \\ (y - 4) = 2 \cos( \alpha )$

on squaring and adding

${(x + 3)}^{2} + {(y - 4)}^{2} = 4$

which is the required equation of the circle.