Calculate \( \arccos \sqrt{\cfrac{1+\sqrt{\cfrac{1-\sqrt{\cfrac{1-\sqrt{\cfrac{1+\cfrac{\sqrt{3}}{2}}{2}}}{2}}}{2}}}{2}}\)
Answer in radians.
You can just put it straight into a calculator...
Most calculators with just give you an approximations of course.
I got an approximation of 0.425 radian. II would do it over and make sure I had to identical answers before I accepted it though.
Are you looking for an exact answer?
I was trying to find a fractional value, and thought of using the half-angle formulas, but didn't know how to apply them here.
Np, I have been trying for a few hours, and still don't know so I understand if it's hard. :)