Question

Find dy/dx in terms of t for the following curve:

(c) x=2cost, y=3sint

Answer 1

\[\frac{dy}{dx} = \frac{dy}{dt}*\frac{dt}{dx}\]

Answer 2

True, but I'm not good with cos and sin

How do I work with it?

Would

x' = -2sint

y'= 3cost ??

Answer 3

correct

Answer 4

so, it would be\[ 3cost \over -2sint? \]

Answer 5

yep or -3/2 cot(t)

Answer 6

Is cos/sin always cot?

Answer 7

yes and sin/cos is always tan

Answer 8

Yes, I knew that one :)
Do you think you could help me with the equation I just put up?

Answer 9

yeah i'll take a look