Question

y=sinx*cosx+1

найти область значения функции

Answer 1

y=sinx*cosx+1=1/2*2*sinx*cosx+1=1/2sin2x+1

sin2x e [-1,1]

1/2sin2x e  [-1/2.1/2]

(1/2sin2x+1) e  [1/2., 1 1/2]