What is the value of cosθ given that (−2, −3) is a point on the terminal side of θ ?

-0.555

Step-by-step explanation:

The terminal point of the vector in this problem is

(-2,-3)

So, it is in the 3rd quadrant.

We want to find the angle that gives the direction of this vector.

We can write the components of the vector along the x- and y- direction as:

The tangent of the angle will be equal to the ratio between the y-component and the x-component, so:

However, since we are in the 3rd quadrant, the actual angle is:

So now we can find the cosine of the angle, which will be negative:

so what is the problem what are they asking you to solve

step-by-step explanation:

so what is the problem what are they asking you to solve