Answer
$1+\frac{x^{2}}{6}+\frac{7x^{4}}{360}+...$
Work Step by Step
$y=\frac{x}{sinx}$
$sinx=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-....$
$\frac{x}{sinx}=\dfrac{x}{x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-....}$
$\approx 1+\frac{x^{2}}{6}+\frac{7x^{4}}{360}+...$