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Simplifying cos(8x) + sin(8x) = 0 Remove parenthesis around (8x) cos * 8x + sin(8x) = 0 Reorder the terms for easier multiplication: 8cos * x + sin(8x) = 0 Multiply cos * x 8cosx + sin(8x) = 0 Remove parenthesis around (8x) 8cosx + ins * 8x = 0 Reorder the terms for easier multiplication: 8cosx + 8ins * x = 0 Multiply ins * x 8cosx + 8insx = 0 Solving 8cosx + 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. 8cosx + 8insx + -8insx = 0 + -8insx Combine like terms: 8insx + -8insx = 0 8cosx + 0 = 0 + -8insx 8cosx = 0 + -8insx Remove the zero: 8cosx = -8insx Divide each side by '8osx'. c = -1ino-1 Simplifying c = -1ino-1
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