Prove that the curve represented by `x=3(cost+sint),y=4(cost-sint),t in R ,` is an ellipse

The curve represented by x = 3 (cost + sint), y = 4(cost – sint) , is

The curve represented by x = 3 (cos t + sin t), y = 4 (cos t- sin t) is an ellipse whose eccentricity is e, such that 16e^2 + 7 is equal to:

Prove that the curves x=4 (costheta+sintheta) and y=3 (costheta-sintheta) represents an ellipse.

x=3cost-2cos^(3)t,y=3sint-2sin^(3)t

The length of the normal at t on the curve x=a(t+sint), y=a(1-cos t), is