Math Help - Euler method

1. Euler method

dy/dx = sin(xy), y(0) = 1

Using Euler method to find an approximate value......

When finding the approximate value, do I use sin in radians or in degrees???

3. Especially when working with Calculus and Differential Equations. The laws $\frac{d(sin(x))}{dx}= cos(x)$ and $\frac{d(cos(x))}{dx}= -sin(x)$ are only true for x in radians.

(In fact, the definitions of sine and cosine that you should be using at this point do not require that x be an angle at all- should not even have units just as you don't worry about the units for "x" in $x^2$- but in order to connect to the "old" trigonometric definitions (and keep the engineers happy), we can think of x as being in "radians".)