M∩N={sinx＞cosx且sinx＜tanx,0≤x≤π/2}
sinx＞cosx,0≤x≤π/2得π/4＜x≤π/2；
sinx＜tanx=sinx/cosx,cosx≠0,则x≠π/2；
所以
M∩N={π/4＜x＜π/2}.