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

Solution:

We should determine the value of cosine for an angle θ with the point (5, -12) on its terminating side

Adjacent = 5

Opposite = 12

Using the Pythagorean theorem

c² = 5² + 144

c² = 25 + 144

c² = 169

c = 13

We know that

cosine of an angle = adjacent/hypotenuse

Substituting the values

cosine = 5/13

cosine = 0.385

Therefore, the value of cosine is 5/13 or 0.385.

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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 or 0.385.