Question

Determinati x, stiind:

Answer 1

Răspuns:

Explicație pas cu pas:

sin x-cosx=√2

sinx-1cosx=√2

sinx-tgπ/4*cosx=√2

sinx-(sinπ/4)/cosπ/4*cosx=√2
Aduci  la   acelasi   numitor

cosπ/4*sinx-sinπ/4*cosx=√2cosπ/4

sin(x-π)/4=√2*√2/2

sIn(x-π/4)=2/2

sin(x-π/4)=1=>

x-π/4=π/2

x=π/2+π/4
x=3π/4