Question

Dê uma forma simplificada :
Sen (x+3π/4)
Cos (x-3π/4)

Answer 1

sen(x +3π/4)=senx.cos(3π/4)+sen(3π/4).cosx
sen(x+3π/4)=senx.-√2/2 + (√2/2).cosx
sen(x+3π/4)=√2/2 [ cosx-senx]

b) cos(x-3π/4)=cosx.cos(3π/4) + senx.sen(3π/4)
cos(x-3π/4)=cosx.-√2/2 + senx.√2/2
cos(x-3π/4)=√2/2[ senx -cosx]