18: Solve the equation
y = f (x) for x.
In order to be able to cancel a trig function with its inverse, the argument
must be from the basic interval where the trig function is invertible. Draw
a picture and introduce
x0 = x − kT
for a suitable integer k.
The easiest way to prove that f is 1-1 is through monotonicity. Find
derivative of f and investigate its sign on M.
Next hint
Answer