I am stuck on this question.

x = root 3 cos t, y = sin t (t\in [0,2pi])

point P is where t = 5pi/6, ie (-1.5,0.5)

The gradient of the tangent to the ellipse at the point with parameter t is -cos t/root 3 sin t, where t is not equal to 0, pi, 2 pi.

I need to find the equation of the tangent to the ellipse at the point P.

Can anyone help?