I have another question =)
First I'll attach the image so that it's easier to follow:
For part a) I tried getting to the required answer but haven't been able to. I'll write down what I've done. Could someone tell me where I've gone wrong?
First I isolated t
so from x=2sint ===> t = arcsin(x/2)
then to get a cartesian equation, I've put t back into the y equation:
which simplifies to y=ln(2/√(4-x^2))
differentiating i get:
(here im not sure if its right)
then when t = pi/3
so y - ln2=-√3 (x-√3)
√3.x=3 + ln2
so x= 1/√3 . (3 + ln2)
but that isn't the answer....