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Simplifying cos(6x) + sin(5x) + cos(2x) + -1sin(3x) = 0 Remove parenthesis around (6x) cos * 6x + sin(5x) + cos(2x) + -1sin(3x) = 0 Reorder the terms for easier multiplication: 6cos * x + sin(5x) + cos(2x) + -1sin(3x) = 0 Multiply cos * x 6cosx + sin(5x) + cos(2x) + -1sin(3x) = 0 Remove parenthesis around (5x) 6cosx + ins * 5x + cos(2x) + -1sin(3x) = 0 Reorder the terms for easier multiplication: 6cosx + 5ins * x + cos(2x) + -1sin(3x) = 0 Multiply ins * x 6cosx + 5insx + cos(2x) + -1sin(3x) = 0 Remove parenthesis around (2x) 6cosx + 5insx + cos * 2x + -1sin(3x) = 0 Reorder the terms for easier multiplication: 6cosx + 5insx + 2cos * x + -1sin(3x) = 0 Multiply cos * x 6cosx + 5insx + 2cosx + -1sin(3x) = 0 Remove parenthesis around (3x) 6cosx + 5insx + 2cosx + -1ins * 3x = 0 Reorder the terms for easier multiplication: 6cosx + 5insx + 2cosx + -1 * 3ins * x = 0 Multiply -1 * 3 6cosx + 5insx + 2cosx + -3ins * x = 0 Multiply ins * x 6cosx + 5insx + 2cosx + -3insx = 0 Reorder the terms: 6cosx + 2cosx + 5insx + -3insx = 0 Combine like terms: 6cosx + 2cosx = 8cosx 8cosx + 5insx + -3insx = 0 Combine like terms: 5insx + -3insx = 2insx 8cosx + 2insx = 0 Solving 8cosx + 2insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2insx' to each side of the equation. 8cosx + 2insx + -2insx = 0 + -2insx Combine like terms: 2insx + -2insx = 0 8cosx + 0 = 0 + -2insx 8cosx = 0 + -2insx Remove the zero: 8cosx = -2insx Divide each side by '8osx'. c = -0.25ino-1 Simplifying c = -0.25ino-1
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