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

Solution:

Pythagorean theorem can be used to find the hypotenuse

a² + b² = c²

It can be written as

c = √[(-5)² + (-12)²]

c = √(25 + 144)

c = √169

c = 13

We know that

Cosine = adjacent/hypotenuse

Substituting the values

Cosine = -5/13

Therefore, the value of cosine is -5/13.

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

Summary:

For an angle θ with the point (-5, -12) on its terminating side, the value of cosine is -5/13.