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What is,  $$\arccos \sqrt{\cfrac{1+\sqrt{\cfrac{1-\sqrt{\cfrac{1-\sqrt{\cfrac{1+\cfrac{\sqrt{3}}{2}}{2}}}{2}}}{2}}}{2}}.$$?

All help is appreciated, thank you!

Sep 20, 2020

#1
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By a calcualator, the answer is 87.5 degrees.

Sep 21, 2020
#2
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arccos = 0.910863824 = 24.375 degrees = 0.42542401 radians

Sep 21, 2020