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maks197457 [2]
3 years ago
7

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

Mathematics
2 answers:
Katyanochek1 [597]3 years ago
6 0
Well, in order to answer this problem we need to use the <span>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</span>
nika2105 [10]3 years ago
4 0

Answer:

The value of cosine is \frac{12}{13}.

Step-by-step 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=\frac{adjacent}{hypotenuse}

⇒cosine=\frac{12}{13}

Therefore, the value of cosine is \frac{12}{13}.

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