Trigonometry

5. If a trig equation has one answer, how many answers will it have? (Provided you do not restrict the domain?)

6. Why are the graphs of the inverse functions restricted to one period of the function?

I only need to answer these two to finish my homework and I can't figure out what to do, can someone help me? Thank you!

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  1. #5 since trig functions are periodic, they have infinitely many solutions.

    #6 So the function and its inverse are 1-to-1. All the trig functions fail the horizontal-line test for inverses unless the domain is restricted, just like something simple like y=x^2.

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