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Simplifying sin(x) * cos(x) + cos(3x) + cos(5x) + cos(7x) = 1 Multiply ins * x insx * cos * x + cos(3x) + cos(5x) + cos(7x) = 1 Multiply insx * cos cinos2x * x + cos(3x) + cos(5x) + cos(7x) = 1 Multiply cinos2x * x cinos2x2 + cos(3x) + cos(5x) + cos(7x) = 1 Remove parenthesis around (3x) cinos2x2 + cos * 3x + cos(5x) + cos(7x) = 1 Reorder the terms for easier multiplication: cinos2x2 + 3cos * x + cos(5x) + cos(7x) = 1 Multiply cos * x cinos2x2 + 3cosx + cos(5x) + cos(7x) = 1 Remove parenthesis around (5x) cinos2x2 + 3cosx + cos * 5x + cos(7x) = 1 Reorder the terms for easier multiplication: cinos2x2 + 3cosx + 5cos * x + cos(7x) = 1 Multiply cos * x cinos2x2 + 3cosx + 5cosx + cos(7x) = 1 Remove parenthesis around (7x) cinos2x2 + 3cosx + 5cosx + cos * 7x = 1 Reorder the terms for easier multiplication: cinos2x2 + 3cosx + 5cosx + 7cos * x = 1 Multiply cos * x cinos2x2 + 3cosx + 5cosx + 7cosx = 1 Combine like terms: 3cosx + 5cosx = 8cosx cinos2x2 + 8cosx + 7cosx = 1 Combine like terms: 8cosx + 7cosx = 15cosx cinos2x2 + 15cosx = 1 Solving cinos2x2 + 15cosx = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: -1 + cinos2x2 + 15cosx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + cinos2x2 + 15cosx = 0 The solution to this equation could not be determined.
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