Nonportrit
contestada

For an angle θ with the point (−5, −12) on its terminating side, what is the value of cosine?

Options:
A. -5
B. -12
C. -5/13
D. -12/13

Respuesta :

calculista

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]