Write the ratios for
sin
X
and
cos
X
.

[tex]sine=\dfrac{opposite}{hypotenuse}\\\\\sin X\\\\opposite=\sqrt{119}\\hypotenuse=12\\\\\text{substitute:}\\\\\boxed{\sin X=\dfrac{\sqrt{119}}{12}}\\\\cosine=\dfrac{adjacent}{hypotenuse}\\\\\cos X\\\\adjacent=5\\hypotenuse=12\\\\\text{substitute:}\\\\\boxed{\cos X=\dfrac{5}{12}}[/tex]