Trig identities

Question

0

186

4

+163

Find

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

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?

Guest · Answer 1 · 2023-01-29T04:32:07

0

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

Guest Jan 29, 2023

+163

0

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

Guest · Answer 2 · 2023-01-29T05:58:35

I get:

Cos(x) ==0.935905927

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

x ==0.359974158 ==11 Pi / 96