+0  
 
0
128
4
avatar+163 

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
avatar
0

The answer works out to \(\dfrac{7 \pi}{32}\)

 Jan 29, 2023
 #2
avatar+163 
0

no, but I would be interested to how you came to your conclusion

YourAverageDummy  Jan 29, 2023
 #3
avatar
+1

I get:

Cos(x) ==0.935905927

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

x ==0.359974158 ==11 Pi / 96

 Jan 29, 2023
 #4
avatar+163 
0

Thank you!

YourAverageDummy  Jan 30, 2023

2 Online Users

avatar