For an angle θ with the point (15, -8) 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 (15, -8) on its terminating side

Adjacent = 15

Opposite = 8

Using the Pythagorean theorem

c² = 15² + 8² 

c² = 225 + 64

c² = 289

c = 17

We know that

cosine of an angle = adjacent / hypotenuse

Substituting the values

cosine = 15/17

cosine = 0.882

Therefore, the value of cosine is 15/17 or 0.882.

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For an angle θ with the point (15, -8) on its terminating side, what is the value of cosine?

Summary:

For an angle θ with the point (15, -8) on its terminating side, the value of cosine is 15/17 or 0.882.