Question

упростить выражение :(cos a+sin a)/1+sin2a

Answer 1

$frac{cosalpha+sinalpha}{1+sin2alpha}=frac{cosalpha+sinalpha}{sin^2alpha+cos^2alpha+2sinalphacosalpha}=frac{cosalpha+sinalpha}{(cosalpha+sinalpha)^2}=frac1{cosalpha+sinalpha}$