# 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

a^{2} + b^{2} = c^{2}

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.

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