- #1

Flappy

- 25

- 0

## Homework Statement

Given the equation: x - cos^2(x^2 - y^2) = xy - sin^2(x^2 - y^2)

Here's a graph of this equation: http://img240.imageshack.us/my.php?image=graphtq8.png

What is the exact point on the tangent line?

And what is the slope of the tangent line?

## The Attempt at a Solution

I know since x=0 at the point, I would need to find y when x=0. But this is confusing me a bit since when I plug in 0 I'm left with -cos(-y^2) = -sin^2(-y^2). And I don't really know when to go from there. I also figure I am going to need to derive the equation by implicit differentiation to find the slope I assume. I'm just looking for some suggestions.