Question

f(x)=3 - 5sen3x Alguém sabe? Pfvr

Answer 1

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$0 = 3 - 5 \sin(3x) \\ \\ 5 \sin(3x) = 3 \\ \\ \sin(3x) = \frac{3}{5} \\ \\ \sin(\pi - 3x) = \frac{3}{5 } \\ \\ 3x = arc \sin( \frac{3}{5} ) \\ \pi - 3x = arc \sin( \frac{3}{5} ) \\ \\ 3x = arc \sin( \frac{3}{5} ) + 2k\pi \\ \pi - 3x = arc \sin( \frac{3}{5} ) + 2k\pi \\ \\ x = \frac{ - arc \sin( \frac{3}{5} ) + \pi}{3} - \frac{2k\pi}{3} \\ \\ x = \frac{ arc \sin( \frac{3}{5} ) + \pi}{3} + \frac{2k\pi}{3} x \\ \\ x = \frac{ - arc \sin( \frac{3}{5} ) + \pi}{3} + \frac{2k\pi}{3} \\ \\ \\ \\ solucao \\ \\ \\ \\ \\ \\ x = \frac{arc \sin( \frac{3}{5} ) }{3} + \frac{2k\pi}{3} \\ \\ x = \frac{ - arc \sin( \frac{3}{5} ) + \pi }{3} + \frac{2k\pi}{3}$