Question

obtenha os valores reais de m para q possa ter : sinx=3+m/4 ,
cosx=2m+7/6
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Answer 1

$|\sin x|\leq 1 \\\\|3+\frac{m}{4}|\leq 1\\\\-1\leq 3+\frac{m}{4}\leq 1\\\\-4\leq \frac{m}{4}\leq -2\\\\-16\leq m\leq -8$

$|\cos x|\leq 1\\\\|2m+\frac{7}{6}|\leq 1\\\\-1\leq 2m+\frac{7}{6}\leq 1\\\\-1-\frac{7}{6}\leq 2m\leq 1-\frac{7}{6}\\\\\frac{-6-7}{6}\leq 2m\leq \frac{6-7}{6}\\\\\frac{-13}{12}\leq m\leq \frac{-1}{12}$