## Friday, July 4, 2014

### Question of the week #8

Given that
$$siny+cosy = x$$
find the first $\frac{dy}{dx}$ and the second derivative $\frac{d^{2}y}{dx^{2}}$ as functions of x.

Hint: It deserves to be persistent (and to use some trigonometric identities as well) to get rid of the $y$ !