Question

cos П/8 * cosx=sin П/8*sinx+1

Answer 1

$cos frac{ pi }{8} *cosx-sin frac{ pi }{8} sinx=1$
$cos(x+ frac{ pi }{8} )=1$
$x+ frac{ pi }{8} =2 pi n$
$x=- frac{ pi }{8} +2 pi n$