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Simplifying Cos(5x) + cos(7x) + cos(5x) = cos(7x) Remove parenthesis around (5x) osC * 5x + cos(7x) + cos(5x) = cos(7x) Reorder the terms for easier multiplication: 5osC * x + cos(7x) + cos(5x) = cos(7x) Multiply osC * x 5osxC + cos(7x) + cos(5x) = cos(7x) Remove parenthesis around (7x) 5osxC + cos * 7x + cos(5x) = cos(7x) Reorder the terms for easier multiplication: 5osxC + 7cos * x + cos(5x) = cos(7x) Multiply cos * x 5osxC + 7cosx + cos(5x) = cos(7x) Remove parenthesis around (5x) 5osxC + 7cosx + cos * 5x = cos(7x) Reorder the terms for easier multiplication: 5osxC + 7cosx + 5cos * x = cos(7x) Multiply cos * x 5osxC + 7cosx + 5cosx = cos(7x) Reorder the terms: 7cosx + 5cosx + 5osxC = cos(7x) Combine like terms: 7cosx + 5cosx = 12cosx 12cosx + 5osxC = cos(7x) Remove parenthesis around (7x) 12cosx + 5osxC = cos * 7x Reorder the terms for easier multiplication: 12cosx + 5osxC = 7cos * x Multiply cos * x 12cosx + 5osxC = 7cosx Solving 12cosx + 5osxC = 7cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7cosx' to each side of the equation. 12cosx + -7cosx + 5osxC = 7cosx + -7cosx Combine like terms: 12cosx + -7cosx = 5cosx 5cosx + 5osxC = 7cosx + -7cosx Combine like terms: 7cosx + -7cosx = 0 5cosx + 5osxC = 0 Add '-5osxC' to each side of the equation. 5cosx + 5osxC + -5osxC = 0 + -5osxC Combine like terms: 5osxC + -5osxC = 0 5cosx + 0 = 0 + -5osxC 5cosx = 0 + -5osxC Remove the zero: 5cosx = -5osxC Divide each side by '5osx'. c = -1C Simplifying c = -1C
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