(sin^2 5п/3) / (sin^2 5п/4)

Решите задачу:

$\frac{sin^2 \frac{5 \pi }{3} }{sin^2 \frac{5 \pi }{4} } = \frac{sin^2(2 \pi - \frac{ \pi }{3}) }{sin^2( \frac{3 \pi }{2}- \frac{ \pi }{4} ) } = \frac{sin^2 \frac{ \pi }{3} }{cos^2 \frac{ \pi }{4} } = \frac{ \frac{ \sqrt{3} }{2} * \frac{ \sqrt{3} }{2} }{ \frac{ \sqrt{2} }{2} * \frac{ \sqrt{2} }{2} } = \frac{3}{4} : \frac{2}{4} = \frac{3*4}{4*2} =3/2=1,5$