Question

Решите уравнение  sin pi x/4=1 [/tex]

Answer 1

$sin frac{ pi x}{4} =1 \ frac{ pi x}{4} = frac{ pi }{2} +2 pi k, k in Z|*4 \ pi x=2 pi +8 pi k, k in Z|: pi \ x=2+8k, k in Z$

Ответ: $x=2+8k, k in Z$

Answer 2

sinπx/4=1
πx/4=π/2+2πn,n∈Z
x=2+8n,n∈Z