Question

Resolva as equacoes trigonometricas:
a) sen 3x=1

Answer 1

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sen3x=1

$como~~1=sen \frac{ \pi }{2} \\ \\ sen3x=sen \frac{ \pi }{2} \\ \\ 3x= \frac{ \pi }{2} +2k \pi \\ \\ x= \frac{ \pi }{6} + \frac{2k \pi }{3} \\ \\ logo \\ \\ S=\{x|x= \frac{ \pi }{6} + \frac{2k \pi }{3} \}$