Question

help

Answer 1

I'd simplify it probably first to use sine
then use the quotient rule \(\bf y=\cfrac{4+csc(x)}{8-csc(x)}\implies y=\cfrac{4+\frac{1}{sin(x)}}{8-\frac{1}{sin(x)}}\implies y=\cfrac{\frac{4sin(x)+1}{sin(x)}}{\frac{8sin(x)-1}{sin(x)}}
\\ \quad \\
\cfrac{4sin(x)+1}{8sin(x)-1}\)

then set \(\bf x=\frac{\pi}{6}\)