Question

Evaluate the following expression:
sin(cos^-1(12/13))

tan(sin^-1(3/5))

I do not know what the inverse values would be...how would I work through this?

Answer 1

This kind of problem works very well when you draw the pertinent triangle.

If cosθ = 12/13, you have a 5-12-13 triangle, so sinθ = 5/13

Similarly, sinθ = 3/5 gives you a 3-4-5 triangle, so tanθ = 3/4