Compute the number of ordered pairs $(x,y)$ that satisfy the system $$\begin{align*} \sin(x+y)&=\cos(x+y)\\ x^2+y^2&=\left(\dfrac{1995\pi}{4}\right)^2 \end{align*}$$
I got 5622, but I'm not sure if that's correct. Can someone provide a hint?
Compute the number of ordered pairs $(x,y)$ that satisfy the system $$\begin{align*} \sin(x+y)&=\cos(x+y)\\ x^2+y^2&=\left(\dfrac{1995\pi}{4}\right)^2 \end{align*}$$
I got 5622, but I'm not sure if that's correct. Can someone provide a hint?