Question

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

A) 5
B) -12
C) 5/13
D) -12/13

Answer 1

we are given

(x,y)=(5,-12)

so, x=5 and y=-12

now, we can find r

`r=√(x^2+y^2)`

`r=√(5^2+(-12)^2)`

`r=13`

now, we can find cos

`cos(\theta)=(x)/(r)`

so, we get

`cos(\theta)=(5)/(13)`...........Answer