Question

sin(x)+$\frac{\pi}{2}$=$\frac{1}{\sqrt{2} }$

Answer 1

Ответ:

$\sin(x + \frac{\pi}{2} ) = \frac{1}{ \sqrt{2} } \\ \sin(x + \frac{\pi}{2} ) = \frac{ \sqrt{2} }{2} \\ \\ x 1+ \frac{\pi}{2} = \frac{\pi}{4} + 2 \pi \: n \\ x1 = - \frac{\pi}{4} + 2\pi \: n \\ \\ x2 + \frac{\pi}{2} = \frac{3\pi}{4} + 2\pi \: n \\ x2 = \frac{\pi}{4} + 2 \pi \: n$

n принадлежит Z.