A Denested Radical
Algebra
Level
5
Where a,b,c,d,e,f,g,h,i,j,k and l are integers , find a+b+c+d+e+f+g+h+i+j+k+l.
The answer is 34.
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1 solution
Use the identity ((1 + sinx - cosx)/ (1 + sinx + cosx))^2 = (1 -cosx)/(1 +cosx) repeatedly.