I am working on an exercice which asks to convert expressions into those basic blocs :
- Standard operations ($+$, $-$, $*$, $/$)
- $\exp$
- $\ln$
- $\sin$
- $\cos$
- powers (as long as the exposant is constant)
I have an issue with this expression :
$$\\X^{\sin(X)}$$
By developing sine, I get that :
$$X^{\frac{\exp(iX) - \exp(-iX)}{2i}}$$
I don't see at all how the exponent could be constant here?
Is there some way to write this expression to get a constant exponent?
Thank you.
$$x^{\sin x} = \exp(\sin x\ln x).$$ Motivation: $$x^{\sin x} = \exp(\ln(x^{\sin x})).$$