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I know how to get the hypotenuse. How do I answer the rest?

and do I use degrees or radians for my calculations?

thanks but i said i already know that, i'm asking about the functions

yep

yeah i got 15

Tan(theta) = sin/cos = 0.8/0.6 = 4/3.

Yes.

again i say it is a bit odd, because you are asked to find
\[f(a)\] without knowing "a"

so, last question: what is the difference between radians and degrees?

2*pi*rad = 360 degrees is your conversion.