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Find

\(\cos{x} =\)\( \sqrt{\cfrac{1+\sqrt{\cfrac{1+\sqrt{\cfrac{1-\sqrt{\cfrac{1+\cfrac{\sqrt{3}}{2}}{2}}}{2}}}{2}}}{2}}\)

in radians

 

my original answer was pi/96, I used the half-angle formula but it was marked incorrect, any ideas what I did wrong and how I can fix it?

 Jan 29, 2023
 #1
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The answer works out to \(\dfrac{7 \pi}{32}\)

 Jan 29, 2023
 #2
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no, but I would be interested to how you came to your conclusion

YourAverageDummy  Jan 29, 2023
 #3
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I get:

Cos(x) ==0.935905927

x ==Cos^ - 1 ==0.359974158 - radians

x ==0.359974158 ==11 Pi / 96

 Jan 29, 2023
 #4
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Thank you!

YourAverageDummy  Jan 30, 2023

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