SOLUTION: Value of c, given {{{sin(15) = (sqrt(6)-sqrt(2))/4}}} and {{{sin(150) = 1/2}}}: {{{c/sin(150) = 125sqrt(3)/sin(15)}}} {{{c = (125sqrt(3)(1/2))/((sqrt(6)-sqrt(2))/4)}}} {{

Algebra ->  Trigonometry-basics -> SOLUTION: Value of c, given {{{sin(15) = (sqrt(6)-sqrt(2))/4}}} and {{{sin(150) = 1/2}}}: {{{c/sin(150) = 125sqrt(3)/sin(15)}}} {{{c = (125sqrt(3)(1/2))/((sqrt(6)-sqrt(2))/4)}}} {{      Log On


   

Question 1103363: Value of c, given sin%2815%29+=+%28sqrt%286%29-sqrt%282%29%29%2F4 and sin%28150%29+=+1%2F2:
c%2Fsin%28150%29+=+125sqrt%283%29%2Fsin%2815%29
c+=+%28125sqrt%283%29%281%2F2%29%29%2F%28%28sqrt%286%29-sqrt%282%29%29%2F4%29
%28125sqrt%283%29%281%2F2%29%29%284%2F%28sqrt%286%29-sqrt%282%29%29%29

%28250sqrt%2818%29%2B250sqrt%286%29%29%2F4
That's what I have so far. So now how to simplify this further? Thanks
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How is c related to all that?