Question

How do you find the sine, cosine, and tangent ratios for Angle X and Angle Y, if this triangle is a right triangle, the hypotenuse (XY) is 13 in length, the base (XZ) is 12 in length, and the leg (YZ) is 5 in length?

Answer 1

Using the definitions of the trig ratios, `sintheta=(opposite)/(hypoten use), costheta=(adjacent)/(hypoten use),tantheta=(opposite)/(adjacent)`, we get :

Explanation:

From the definitions of the trig ratios we get :

`sinX=5/13`
`cosX=12/13`
`tanX=5/12`

`SinY=12/13`
`cosY=5/13`
`tanY=12/5`