Question

sin$\frac{5x}{2}$=1

Answer 1

$5x=arcsin(1)$
$\frac{5x}{2} = \frac{ \pi }{2}$
$(5x)*(2)=(2)*( \pi )$
$x= \frac{ \pi }{5}$
$\frac{5x}{2} = \pi - \frac{ \pi }{2}$
$5x= \pi *(2)- \frac{ \pi }{2} *2$
$5x= \pi$
$x= \frac{ \pi }{5}$
$\frac{2 \pi }{|b|}$
$\frac{2 \pi }{| \frac{5}{2} |}$
$\frac{4 \pi }{5}$
$x= \frac{ \pi }{5}$±$\frac{4 \pi n}{5} ; \frac{ \pi }{5}$±$\frac{4 \pi n}{5}$
$x= \frac{ \pi}{5}$±$\frac{4 \pi n}{5}$