Question

$frac{sin( pi - beta )*cos( pi + beta )*tg( pi - beta )}{sin( frac{3 pi }{2}- beta )*ctg( frac{3 pi }{2} + beta )*cos( frac{ pi }{2} + beta ) }$

Answer 1

$dfrac{sin( pi - beta )cdot cos( pi + beta )cdot tg( pi - beta )}{sinbigg( dfrac{3 pi }{2} - beta bigg)cdot ctgbigg(dfrac{3 pi }{2} + beta bigg)cdot cos bigg(dfrac{ pi }{2} + beta bigg)} =\ \ \ = dfrac{sin beta cdot (-cos beta )cdot (-tg beta )}{(-cos beta )cdot(-tg beta )cdot (-sin beta )} =-1$