Answer:
sinC = [tex]\frac{4}{5}[/tex] , cosB = [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
To obtain the ratios we require to find the hypotenuse BC
Using Pythagoras' identity
BC² = AB² + AC² = 8² + 6² = 64 + 36 = 100 ( take square root of both sides )
BC = [tex]\sqrt{100}[/tex] = 10
Then
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{8}{10}[/tex] = [tex]\frac{4}{5}[/tex]
cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex]= [tex]\frac{8}{10}[/tex] = [tex]\frac{4}{5}[/tex]
