Question

Sin ( x + Pi/4 ) = 1/ корень кв. из 2

Answer 1

$sin(x+\frac{\pi}{4})=\frac{1}{\sqrt{2}}$
$x+\frac{\pi}{4}=(-1)^karcsin (\frac{1}{\sqrt{2}})+\pi*k$
$x+\frac{\pi}{4}=(-1)^k*\frac{\pi}{4}+\pi*k$
$x=-\frac{\pi}{4}+(-1)^k+\pi*k$

k є Z