Answer:
E
Step-by-step explanation:
using the trigonometric identity
sin²x + cos²x = 1, then
sinx = ± [tex]\sqrt{1-cos^2x}[/tex]
Since tanΦ > 0 and cosΦ < 0 then Φ is in the third quadrant
where sinΦ < 0
sinΦ = - [tex]\sqrt{1-(-5/13)^2}[/tex] = - [tex]\sqrt{1-\frac{25}{169} }[/tex] = - [tex]\sqrt{\frac{144}{169} }[/tex] = - [tex]\frac{12}{13}[/tex] → E
