Question

Решите уравнение \text{sin}\dfrac{\mathit{\pi x}}{4}=1 .

Answer 1

$\text{sin}\dfrac{\mathit{\pi x}}{4}=1 \\ \frac{\pi x}{4} = \frac{ \pi }{2} + 2 \pi k \\ \pi x = 2 \pi + 8 \pi k \\ x = 2 + 8k$