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Answer in radians: \(\arccos\left(\sqrt{\frac{1+\sqrt{\frac{1-\sqrt{\frac{1-\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}}{2}}}{2}}}{2}}\right)\)

 Apr 3, 2022
 #1
avatar+14865 
+2

\(\arccos\left(\sqrt{\frac{1+ \sqrt{\frac{1-\sqrt{\frac{1-\sqrt{\frac{1+ \frac{\sqrt{3}}{2}}{2}}}{2}}}{2}}}{2}}\right)=\color{blue}0.425424005174 =\dfrac{\pi}{7\frac{5}{13}}=\dfrac{13}{96}\pi\)

laugh  !

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 Apr 3, 2022
edited by asinus  Apr 3, 2022
 #2
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+1

Hello Asinus, Thank you very much for the answer. I got the same answer as well, but I am not exactly sure how to convert it to radians...

 

Do you know any I can do that?

Guest Apr 3, 2022
 #3
avatar+745 
+1

Hey Guest! The formula used for the Radian Conversion is -> Radians = (Degrees × π)/180°. 

ilovepuppies1880  Apr 3, 2022
 #4
avatar+14865 
+2

The result is given in radians.

Set the 2.0 calculator to rad. Then give arccos.

laugh  !

asinus  Apr 3, 2022
edited by asinus  Apr 3, 2022

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