Question for Trig Gurus

[Namir]

(12-02-2014 01:12 AM)Thomas Klemm Wrote:  

(12-02-2014 12:16 AM)Namir Wrote:  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)))

f(x)=arcsin(g^-1(arcsin(x)))

But that's probably not what you are looking for. I assume that f and g should be "simple" functions that are available on this calculator or at least a simple combination of them. However I doubt that there are any.

You could try and set up f and g as power series and then try to figure out their coefficients. But the composition of functions is used twice. Good luck!

Cheers
Thomas

Thomas,

The calculator has no inverse trig functions. I am trying to see if there is a math trick to calculate the inverse trig functions using the trig functions (without using an iterative method like Newton's method).

What I am looking for is hard to find if it exists at all. I am looking for a math trick to do the job.

Namir