Find x in the trig equation: (Pi-x)Cosx + 2Sinx -Pi/2 =0?

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(π − x)·cos(x) + 2·sin(x) − ½π = 0

This cannot be solved algebraically.

This is because x appears both inside and outside of the trig functions.

Sadly, this form absolutely requires you to cheat... by using calculators and/or algorithms that will only yield numeric approximations. Its also possible to define some arbitrary new function to accommodate inverses of equations like this (see Lambert W-functions). But there is no way to isolate x explicitly in terms of everything else....Show more