[tex]\begin{gathered} y=4csct \\ x=sint \\ y=4csct \\ y=(4)(\frac{1}{sint}) \\ y=(4)(\frac{1}{x}) \\ y=\frac{4}{x} \\ \end{gathered}[/tex]
Because t is in (0,pi)
[tex]\begin{gathered} x1\text{ = }sin0 \\ x1=0 \\ \\ y1=\frac{4}{0}=\infty \\ \\ x2=sin\pi=sin180º=0 \\ y=\frac{4}{0}=\infty \\ \\ So\text{ if t\lparen0,}\pi),\text{ x is \lparen0,0}\rbrack \\ \\ Equation=\text{ }y=\text{ }\frac{4}{x}\text{ for }x(0,0\rbrack \end{gathered}[/tex]
That would be the rectangular equation
