Solve the equation for x, where x is restricted to the given interval.

Step-by-step explanation:
[tex]y = 3 \csc( \frac{x}{5} ) [/tex]
[tex] \frac{y}{3} = \csc( \frac{x}{5} ) [/tex]
Multiply by 5 on both sides.
[tex]5 \times \frac{y}{3} = \csc(x) [/tex]
Take the inverse of cosecant or arccsc of the function.
[tex]5 \: arccsc( \frac{y}{3}) = x[/tex]