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Simplifying cos(4x) + cos(2x) + sinx + sin(5x) = 0 Remove parenthesis around (4x) cos * 4x + cos(2x) + sinx + sin(5x) = 0 Reorder the terms for easier multiplication: 4cos * x + cos(2x) + sinx + sin(5x) = 0 Multiply cos * x 4cosx + cos(2x) + sinx + sin(5x) = 0 Remove parenthesis around (2x) 4cosx + cos * 2x + sinx + sin(5x) = 0 Reorder the terms for easier multiplication: 4cosx + 2cos * x + sinx + sin(5x) = 0 Multiply cos * x 4cosx + 2cosx + sinx + sin(5x) = 0 Remove parenthesis around (5x) 4cosx + 2cosx + insx + ins * 5x = 0 Reorder the terms for easier multiplication: 4cosx + 2cosx + insx + 5ins * x = 0 Multiply ins * x 4cosx + 2cosx + insx + 5insx = 0 Combine like terms: 4cosx + 2cosx = 6cosx 6cosx + insx + 5insx = 0 Combine like terms: insx + 5insx = 6insx 6cosx + 6insx = 0 Solving 6cosx + 6insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6insx' to each side of the equation. 6cosx + 6insx + -6insx = 0 + -6insx Combine like terms: 6insx + -6insx = 0 6cosx + 0 = 0 + -6insx 6cosx = 0 + -6insx Remove the zero: 6cosx = -6insx Divide each side by '6osx'. c = -1ino-1 Simplifying c = -1ino-1
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