Question

Calcule os valores de m para os quais a igualdade seja possível :
Sen de x = -3m -2​

Answer 1

Sabemos que:

$-1\leq\sin x\leq1$

Logo:

$-1\leq-3m-2\leq1\\\\-1+2\leq-3m\leq1+2\\\\1\leq-3m\leq3\\\\\\-\dfrac{1}{3}\geq x\geq-1\\\\\boxed{-1\leq m\leq-\dfrac13}$