Respuesta :

By applying the concepts of trigonometric functions, the value of the cosine of an angle θ given that (x, y) = (- 2, - 3) is equal to - 2√13 /13.

How to find the value of a trigonometric function based on definitions

In this problem we have a vector whose beginning is set in the origin, whose cosine is represented by the following definition:

[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex]     (1)

If we know that x = - 2 and y = - 3, then the cosine is:

cos θ = - 2 /√13 = - 2√13 /13

By applying the concepts of trigonometric functions, the value of the cosine of an angle θ given that (x, y) = (- 2, - 3) is equal to - 2√13 /13.

To learn more on trigonometric functions: https://brainly.com/question/6904750

#SPJ1