Question

Para que valores de m temos: senx = m√2/2 e cosx= m?

Answer 1

$senx=\frac{m \sqrt{2} }{2} \\ cosx=m \\ \\ sen^2x + cos^2x = 1 \\ \\ ( \frac{m \sqrt{2} }{2})^2+m^2=1 \\ \frac{2m^2}{4} +m^2=1 \\ 2m^2+4m^2=4 \\ 6m^2=4 \\m^2= \frac{4}{6} \\ \\ m =\frac{2}{ \sqrt{6} } \\ m= \frac{2 \sqrt{6} }{6 \\ } \\ m=+- \frac{ \sqrt{6} }{3}$