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

2 Answers

3 votes

Answer:

The value of cosine is
(12)/(13).

Explanation:

It is given that an angle
{\theta}, with the point (12,-5) is on its terminating side, then the adjacent sides has measure =12 and the opposite side has measure =-5.

Now, from the figure drawn, using the Pythagoras theorem, we have


(Hyp)^2=(Base)^2+(Per)^2


(H)^2=(12)^2+(-5)^2


(H)^2=144+25


(H)^2=169


H=13

Thus, the value of hypotenuse is 13units.

Now, the value of cosine is given as:


cosine=(adjacent)/(hypotenuse)


cosine=(12)/(13)

Therefore, the value of cosine is
(12)/(13).

For an angle Θ with the point (12, −5) on its terminating side, what is the value-example-1
User Jtth
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8.0k points
3 votes
Well, in order to answer this problem we need to use the the Pythagorean Theorem and the it will be like this:
cos = x / hypotenuse
cos= 12/13
I think with this you can figure the rest out. Hope this helps
User Exelian
by
8.7k points