Question

sin пи х =корень из 2/2

Answer 1

$sin pi x= frac{ sqrt{2}}{2} \ pi x= frac{pi }{2} +(-1)^k frac{pi }{4}+2pi n,$n∈Z, k=1,2
$x= frac{1}{2} +(-1)^k frac{1}{4}+2n,$n∈Z, k=1,2