Trigonometry
posted by Veronica .
Having trouble with true/false questions in Trigonometry. They read as follows 
True or False: For a trigonometric function, y=f(x), then x=F^1(y). Explain your answer.
True or False: For a one to one function, y=f(x), then x=f^1(y). Explain your answer.
True or False: For any function, x=f^1, then y=f(x). Explain your answer.
In the lesson, we were taught that for inverses, capitals, F, denote inverse functions, and lowercase, f, denote inverse relations. From the info taught to me, I have these answers:
1  False (The domains and ranges of inverse trig functions, F, are restricted)
2  True (Since the function is onetoone, there is no chance of the original function going over the allowable domain of the inverse)
3  I believe that this is true, since x = f^1(y) is a relation (lowercase).

I wanted to make a bit of a correction, for my third answer, the x = f^1(y) is specified as a function (as seen above). But wouldn't this still be true?