Question

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

−5
12
negative 5 over 13
12 over 13

Answer 1

D

Explanation:

I just took the test. :)

Answer 2

Given that the point (12,-5) which takes the form (x,y), This implies that:
opposite=-5
adjacent=12
thus using using Pythagorean theorem, the hypotenuse will be:
c^2=a^2+b^2
plugging the values we obtain:
c^2=(12)^2+(-5)^2
c^2=144+15
c^2=169
thus
c=13
but
cos θ=adjacent/ hypotenuse
therefore:
cos θ=12/13

Answer is option . D