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

Algebra ->  Test -> SOLUTION: Show that cos18° = [sqrt(10 + 2sqrt5)]/4      Log On


   



Question 1145897: Show that cos18° = [sqrt(10 + 2sqrt5)]/4
Answer by Alan3354(69443) About Me  (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)