hi there!!

here's the problem ive been working for like an hour on and still cant get right:

Calculate

\(\arccos \sqrt{\cfrac{1+\sqrt{\cfrac{1+\sqrt{\cfrac{1-\sqrt{\cfrac{1+\cfrac{\sqrt{3}}{2}}{2}}}{2}}}{2}}}{2}}.\)

As usual, the output of an inverse trig function should be in radians.

ive attempted this problem so many times but got a different wrong answer every time i approached it so it would be great if someone could just walk me through it. (please dont just give me an answer i really need to understand this for my class..)

thank you sm in advance!!

heartSTORM907 Sep 4, 2023

#1**+1 **

The answer is 13*pi/96. The solution has been posted here:

https://web2.0calc.com/questions/pre-calc-problem

Guest Sep 5, 2023

#2

#4**+1 **

Hi heartSTORM907,

Alan's answer isn't wrong.

Even if there is some small error the working is very detailed and solid.

Which bit don't you understand?

I have opened the earlier question so you can answer there is you want to.

Make sure you also post a link on this thread if you continue this elsewhere.

Melody
Sep 5, 2023

#3**0 **

1 - Start at the top: sqrt((sqrt(3) / 2 + 1)/2)=0.9659258262890682867497431997289

2 - [1 - 0.9659258262890682867497431997289]

3 - sqrt[0.0340741737109317132502568002711 / 2]

4 -sqrt [0.13052619222005159154840622789549+1]/2

5 - sqrt[0.56526309611002579577420311394775]

6 - [(0.75183980747897739640751940637696)+1] / 2

7 - sqrt[0.87591990373948869820375970318848]

8 - 0.93590592675732570029170724946674

9 - Arccos[0.93590592675732570029170724946674]

**10 - [11 Pi] / 96 [in radians] Note: This question is slightly different from the above link, which gives: [13 Pi] / 96.**

Guest Sep 5, 2023