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Simplifying sin(3x) + 2cosx + sin(5x) = 0 Remove parenthesis around (3x) ins * 3x + 2cosx + sin(5x) = 0 Reorder the terms for easier multiplication: 3ins * x + 2cosx + sin(5x) = 0 Multiply ins * x 3insx + 2cosx + sin(5x) = 0 Remove parenthesis around (5x) 3insx + 2cosx + ins * 5x = 0 Reorder the terms for easier multiplication: 3insx + 2cosx + 5ins * x = 0 Multiply ins * x 3insx + 2cosx + 5insx = 0 Reorder the terms: 2cosx + 3insx + 5insx = 0 Combine like terms: 3insx + 5insx = 8insx 2cosx + 8insx = 0 Solving 2cosx + 8insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8insx' to each side of the equation. 2cosx + 8insx + -8insx = 0 + -8insx Combine like terms: 8insx + -8insx = 0 2cosx + 0 = 0 + -8insx 2cosx = 0 + -8insx Remove the zero: 2cosx = -8insx Divide each side by '2osx'. c = -4ino-1 Simplifying c = -4ino-1
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