Question

sin x/4 = 1
cos(x/2 - п / 7)= корень 3/2

Answer 1

$sinfrac{x}{4}=1$

$frac{x}{4}=frac{pi}{2} + pi k$, k є Z

$x=2pi + 4pi k$, k є Z


$cos( frac{x}{2} - frac{ pi }{7} )= frac{sqrt{3}}{2}$

$frac{x}{2} - frac{ pi }{7}= +- arccos( frac{sqrt3}{2} ) + 2 pi k$, k є Z

$frac{x}{2}= +- frac{pi}{6} + frac{ pi }{7} + 2 pi k$, k є Z

$x= +- frac{pi}{3} + frac{ 2pi }{7} + 4 pi k$, k є Z