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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.

 Jan 18, 2022
 #1
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The answer is 7/12*pi.

 Jan 18, 2022
 #2
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It's not, thanks for trying to help though.

ImDecentAtMath  Jan 18, 2022
 #3
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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?

 Jan 18, 2022
 #4
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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.

ImDecentAtMath  Jan 18, 2022
 #5
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sorry, I don't know.

When you get an answer please share it with the forum :)

Melody  Jan 18, 2022
 #6
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Np, I have been trying for a few hours, and still don't know so I understand if it's hard. :)

ImDecentAtMath  Jan 18, 2022
 #7
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I figured it out in the end. It is 13pi/96.

 Jan 19, 2022
 #8
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Well .. are you going to show us how you did it?   OR guide us ??

Melody  Jan 19, 2022
 #9
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Well, tbh I just plugged it into the calculator on this website lol, then divided the radians amount by pi. smiley

ImDecentAtMath  Jan 19, 2022
 #10
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ok  :)

Melody  Jan 19, 2022

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