Question

оцените выражение 5-3sin² x

Answer 1

$sin x \in \left [ -1;1 \right ]\\sin^2 x \in \left [ 0;1 \right ]\\3sin^2x \in \left [ 0;3 \right ]\\-3sin^2 x \in \left [ -3;0 \right ]\\-3sin^2x+5\in \left [ 2;5 \right ]$