Answer:
[tex]\frac{-4}{5}[/tex]
Step-by-step explanation:
Let a=-8
b=-6
In triangle , by using Pythagoras theorem,
[tex]r^{2}[/tex]=[tex]a^{2}[/tex]+[tex]b^{2}[/tex]
r=[tex]\sqrt{a^2+b^{2}[/tex]
r=[tex]\sqrt{(-8)^2+(-6)^{2}[/tex]
r=[tex]\sqrt{64+36[/tex]
r=[tex]\sqrt{100}[/tex]
r=10
by using trigonometric ratio,
sinθ =[tex]\frac{a}{r}[/tex]
sinθ =[tex]\frac{-8}{10}[/tex]
sinθ =[tex]\frac{-4}{5}[/tex]
