What is cartesin equation for r 5cos theta r 2sin theta 3

What is cartesin equation for r = 5/cos theta r = 2/sin theta - 3 cos theta r = 3 sin theta

Solution

r=5/cos theta

r cos theta=5

x=5

r=2/(sin theta - 3 cos theta)

r sin theta -3 r cos theta=2

y-3x=2

r=3 sin theta

r²=3 r sin theta

x²+y²=3y