Question

Să se demonstreze că sin(x+π/6) + cos(π/3-x) = 1

Answer 1

Răspuns:

FALS

Explicație pas cu pas:

fie x=π/6

π/6+π/6=π/3

π/3-π/6=π/6

sin(π/3)+cos(π/6)=√3/2+√3/2=√3≠1

deci ai ceva GRESIT in tezxt

fie sunt la patrat, fie e o ecuatie de rezolvat

Answer 2

sin(x+pi/6)+cos(pi/3-x)

sin(x)cos(pi/6)+cos(x)sin(pi/6)+cos(pi/3)cos(x)+sin(pi/3)sin(x)

sin(x)×√3/2+cos(x)×1/2+1/2×cos(x)+√3/2×sin(x)

2sin(x)×√3/2+2cos(x)×1/2

sin(x)×√3+cos(x)

√3×sin(x)+cos(x)