Question for Trig Gurus

[Namir]

Thanks Thomas for the trigonometric identities. I am looking for some identities between the inverse trigonometric functions and the regular trigonometric functions, since the calculator has sin, cos, and tan functions but not their inverses. So for example what is f() and g() that define for example the arcsine as a function of the sine and a function of the angle:

arcsin(x) = f(sin(g(x)))

Namir