Question

Вычислите: cos (arcsin 0.6)

Answer 1

$cos(arcsin0,6)=cos alpha ; ; ,; ; alpha =arcsin0,6\\0^circ textless arcsin0,6 textless 90^circ ; ; ; to ; ; ; cos alpha textgreater 0\\sin alpha =sin(arcsin0,6)=0,6\\cos alpha =+sqrt{1-sin^2 alpha }= sqrt{1-(0,6)^2} = sqrt{1-0,36} = sqrt{0,64} =0,8$