Euler's Formula of Inverse Trig Functions

Tac-Tics · Oct 23, 2008

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

tiny-tim · Oct 23, 2008

Tac-Tics said:

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

Short answer … no! :redface:

Long answer … noooooooo! :cry:

You knew that didn't you?

Tac-Tics · Oct 23, 2008

tiny-tim said:

Short answer … no!

Long answer … noooooooo!

You knew that didn't you?

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

Ben Niehoff · Oct 23, 2008

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.

Euler's Formula of Inverse Trig Functions

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