How do I evaluate $ sin(20)$ exactly? [in degrees]
I derived the relationship between $sin(x) $ and $sin(3x)$ where $x = sin(x)$ and $ y = sin(3x)$
Now I am interested in subsituting $sin(60) $ and moving along but I am not sure which formula will result in me getting a real solution.
I am curious how to de-nest this mess into something cleaner. I would really like to get rid of all the imaginary numbers but if that is not possible I still feel that this can definitely be de-nested into a simpler looking form even if the radical count does not go down.
I have tried a couple attempts at substituting stuff back in but my answer seems to change whenever I move thing in and out of the cube root