|Oct19-10, 01:17 PM||#1|
Hardest Identity Evar involving sum and differences
1. The problem statement, all variables and given/known data
sin (x) + sin (3x) + sin (5x) + sin (7x) = 4cos(x)cos(2x)sin(4x)
2. Relevant equations
3. The attempt at a solution
Me and four of my classmates have tried to do this proof and it kicked our ***.
|Oct19-10, 01:47 PM||#2|
sin(x) + sin(3x) + sin(5x) + sin(7x) = sin(2x - x) + sin(2x + x) + sin(6x -x) + sin(6x + x)
Expand the terms on the right side, and several terms will drop out. You will need to apply the same trick again.
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