Question

Determine k de modo que se verifique seno de x =k+8/5

Answer 1

$Ola' \\ \\ Por~trigonometria~temos~que: \\ -1 \leq senx \leq +1~~~--\ \textgreater \ como~diz~[senx=k+ \frac{8}{5}] \\ \\ -1 \leq k+ \frac{8}{5} \leq 1 \\ \\ -1- \frac{8}{5} \leq k \leq 1- \frac{8}{5} \\ \\ - \frac{13}{5} \leq k \leq - \frac{3}{5} \\ \\ S=\{x \in~\mathbb{R}|- \frac{13}{5} \leq k \leq - \frac{3}{5}\} \\ \\ \mathbb{iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii} \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Espero~ter~ajudado!!$