Answer:
- sin(H) = 4/5
- cos(H) = 3/5
- tan(H) = 4/3
Explanation:
You want the primary trig functions of angle H in right triangle FGH with sides FG=12, GH=9, FH=15.
Trig ratios
The mnemonic SOH CAH TOA is intended to help you with problems like this. Its purpose is to remind you that ...
- Sin = Opposite/Hypotenuse
- Cos = Adjacent/Hypotenuse
- Tan = Opposite/Adjacent
With respect to angle H, the sides are ...
- Opposite = 12
- Adjacent = 9
- Hypotenuse = 15
Then the values you want are ...
sin(H) = 12/15 = 4/5
cos(H) = 9/15 = 3/5
tan(H) = 12/9 = 4/3