Question

cosx-корень из 3 sinx=0

Answer 1

$cos(x ) - sqrt{3} sin(x) = 0 \ frac{1}{2} cos(x) - frac{ sqrt{3} }{2} sin(x) = 0 \ cos( frac{pi}{3} ) cos(x) - sin( frac{pi}{3} ) sin(x) = 0 \ cos( frac{pi}{3} + x) = 0 \ x + frac{pi}{3} = frac{pi}{2} + pi n \ x = frac{pi}{6} + pi n, : n in Z$