I'm not whether this is the right place, but I saw geometry, n differentiation n thought, hmm, my question kinda involves both. If its in the wrong place, sorry...

Anyways...Got this curve given as

= theta for the sake of typing, hehe.

x = a cos

y = b sin

I established it's a circle, because cos^2

+sin^2

=1

and subbing that in what sin

and cos

equal gives (x/a)^2 + (y/b)^2 = 1

Which is in the form for an equation for a circle? I'm not entirely sure on all this 2 be honest so if I'm goin wrong, feel free 2 point it out.

I wanna find the tangent, the normal n the area of the circle. I've tried numerous ways but can't get the right answer.