Răspuns :

folosim teorema cosinusului

cosB=(AB^2+BC^2-AC^2)/(2*AB*BC)

cosB=(8^2+6^2-7^2)/(2*8*6)

cosB=(64+36-49)/96

cosB=51/96

cosB=17/32

cosC=(AC^2+CB^2-AB^2)/(2*AC*CB)

cosC=(7^2+6^2-8^2)/(2*7*6)

cosC=(49+36-64)/84

cosC=21/84

cosC=1/4

cosB-cosC=[tex]\frac{17}{32}[/tex] - [tex]\frac{1}{4}[/tex]= [tex]\frac{17}{32}[/tex] - [tex]\frac{8}{32}[/tex] = [tex]\frac{9}{32}[/tex]