Question

Se sen(2x)=1 e cos(3x)= −√2/2 , com 0 ≤ x ≤ π, o valor de x, em graus, é

Answer 1

$\displaystyle \sf sen(2x) = 1 \ \ ;\ \ cos(3x) = \frac{-\sqrt{2}}{2}\ \ ; \ 0\ \leq x \leq \pi \\\\\ sen(2x) = 1 \\\\ sen(2x) = sen\left(\frac{\pi}{2}\right) \\\\\\ 2x = \frac{\pi }{2}\to x=\frac{\pi }{4} \\\\\\\ \huge\boxed{\sf \ x = 45^\circ\ }\checkmark$