Answer:
option C. [tex]-\frac{5}{13}[/tex]
Step-by-step explanation:
we have that
The point (-5,-12) belong to the III quadrant
so
The value of the cosine is negative
Applying the Pythagoras Theorem
Find the value of the hypotenuse
[tex]h^{2}=5^{2}+12^{2}\\ h^{2} =25+144\\ h^{2}=169\\h=13\ units[/tex]
The value of cosine of angle θ is the ratio between the side adjacent to angle θ and the hypotenuse
[tex]cos(\theta)=-\frac{5}{13}[/tex]
