Question

(sin^2 5п/3) / (sin^2 5п/4)

Answer 1

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