Question

помогите решить уравнение ctg(x-pi/4)=1

Answer 1

$Ctg(x-\frac{\pi }{4})=1\\\\x-\frac{\pi }{4}=arcCtg1+\pi n,n\in z\\\\x-\frac{\pi }{4}=\frac{\pi }{4}+\pi n,n\in z\\\\x=\frac{\pi }{4}+\frac{\pi }{4}+\pi n,n\in z\\\\x=\frac{\pi }{2}+\pi n,n\in z$