Discovery of The Inverse Trig Functions
Does every function have an inverse?
Must the inverse of a function be a function?
How do we know if the inverse of a function, f(x), is also a function?
What measures can we take, if any, to turn an inverse relation into an inverse function?
Discovery of the Arcsine Function
What is an appropriate domain for f or a range for that would guarantee one output for every input?
Discovery of the Arccosine Function
What is an appropriate domain for f or a range for that would guarantee one output for every input?
What is an appropriate domain for f or a range for that would guarantee one output for every input?