To determine which trigonometric function to use, we need to consider the relationship between the sides of the triangle based on the angle labeled (in this case, 36 degrees).
Here’s a quick reminder of what the functions mean under SOH CAH TOA:
- SOH: sin = opposite / hypotenuse
- CAH: cos = adjacent / hypotenuse
- TOA: tan = opposite / adjacent
Depending on which sides of the triangle you have:
- If you have the opposite side and the adjacent side, you would use tan.
- If you have the opposite side and the hypotenuse, you would use sin.
- If you have the adjacent side and the hypotenuse, you would use cos.
Without knowing which sides of the triangle are labeled or what information you have, we can't definitively choose the trig function.
If you are working with the tangent, you would choose tan (36), if you have the opposite side and the adjacent side. If you have the adjacent side and the hypotenuse, you would go with cos (36), and if you have the opposite side and the hypotenuse, you would select sin (36).
Please provide the context of the labeled triangle if you want a more specific answer!