Eliminate the parameter t in the following. x = 5 sin t, y = 5 sin t

Answer 1

I think that you mean x = 5cost and y = 5sint

In that case, x² + y² = 25cos²t + 25sin²t = 25(cos²t + sin²t) = 25(1) = 25

So, x² + y² = 25 (an equation for the circle with center (0,0) and radius 5.