SOLUTION: Show that cos18° = [sqrt(10 + 2sqrt5)]/4

Algebra.Com
Question 1145897: Show that cos18° = [sqrt(10 + 2sqrt5)]/4
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Show that cos18° = [sqrt(10 + 2sqrt5)]/4
=============
Use the sin(18)
Then, cos(18) = sqrt(1 -sin^2(18))
----------
Or, sin(18) = 2sin(9)*cos(9)

RELATED QUESTIONS

Use the formula in part c (sin(alpha+beta)=sin alpha*cos beta+cos alpha*sin beta)and the... (answered by stanbon)
Please help. show work using foil.... (answered by Fombitz)
I am having a hard time with my math today. I have a problem that I am close to answering (answered by lwsshak3)
-4sqrt5(1-2sqrt5+sqrt15) I hope that makes sense, everytime I wrote sqrt I meant the... (answered by stanbon)
Cos18+cos234 (answered by Alan3354)
find the length of the segment joining the given points and the midpoint of the segment. (answered by stanbon)
10{{{sqrt(4)}}}-{{{sqrt(4)}}} (answered by ankor@dixie-net.com,jim_thompson5910)
Please help me solve this [[[ (sqrt(10) + sqrt(8))(sqrt(10)-sqrt(8))]]] I tried doing... (answered by mananth)
Question provided by co-worker I'm trying to help... Given the equation x^2 + 6sqrt2x (answered by stanbon)