Question

Gasiti solutiile ecuatiei sin5x = sin3x

Answer 1

sin5x = sin3x
[tex]5x=(-1)^k3x+k\pi,k\in Z\\ k~par=2t=\ \textgreater \ 5x=3x+k\pi=\ \textgreater \ 2x=k\pi=\ \textgreater \ x= \frac{k \pi }{2} =t \pi\\ k~impar=2t+1=\ \textgreater \ 5x=-3x+k\pi=\ \textgreater \ 8x=k\pi=\ \textgreater \ x= \frac{k \pi }{8} \\ S=\{t \pi ,t \inZ\}U\{\frac{(2t+1) \pi }{8},t \in Z\}[/tex]