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