# Euler's Formula of Inverse Trig Functions

1. Oct 23, 2008

### Tac-Tics

Is there a clean exponential formula for inverse trig functions (arcsine, arccosine) like there is for sine and cosine?

2. Oct 23, 2008

### tiny-tim

Short answer … no!

Long answer … noooooooo!

You knew that didn't you?

3. Oct 23, 2008

### Tac-Tics

I figured as much. Mathematics is as cruel as she is beautiful.

4. Oct 23, 2008

### Ben Niehoff

You can write them with logarithms and square roots: first write the formula for, say, sin(z) in terms of exp(iz) and exp(-iz). Then solve for exp(iz) (it's a quadratic equation). Then take logarithms.