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# Trig identities

0
50
4
+163

Find

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

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
+163
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no, but I would be interested to how you came to your conclusion

YourAverageDummy  Jan 29, 2023
#3
+1

I get:

Cos(x) ==0.935905927

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

x ==0.359974158 ==11 Pi / 96

Jan 29, 2023
#4
+163
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Thank you!

YourAverageDummy  Jan 30, 2023