Решите уравнение \(2sin(x-\frac{\pi }{4})cos\frac{\pi }{4}=1.\) \((-1)^n\frac{\pi }{4}+\frac{\pi }{4}+\pi n, n\epsilon Z\) \(\pm\frac{\pi }{2}+\pi n, n\epsilon Z\) \((-1)^n\frac{\pi }{4}+\frac{\pi }{4}+2\pi n, n\epsilon Z\) \(\pm\frac{\pi }{4}+\frac{\pi }{4}+\pi n, n\epsilon Z\)

Задание

Решите уравнение \(2sin(x-\frac{\pi }{4})cos\frac{\pi }{4}=1.\)

\((-1)^n\frac{\pi }{4}+\frac{\pi }{4}+\pi n, n\epsilon Z\)
\(\pm\frac{\pi }{2}+\pi n, n\epsilon Z\)
\((-1)^n\frac{\pi }{4}+\frac{\pi }{4}+2\pi n, n\epsilon Z\)
\(\pm\frac{\pi }{4}+\frac{\pi }{4}+\pi n, n\epsilon Z\)