It depends on what information you already have. For example, if you know the length of two sides of a triangle, you can easily find the tangent. Or, if you know the length of two angles and a side, you can find the other sides as well, using the tangent, cosine, and sine as needed.
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Yes, sine, cosine, tangent definitions are based on right triangles
You can choose either or but tangent which is sin/cos seems to be the most common way.
Trigonometry
If it is a right triangle, you can use the Pythagorean Theorem. If you know the angle measures, you can use cosine/sine/tangent.
use the inverse sine or cosine or tangent