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Simplifying 6cos(5x) + -6sin(10x) = 0 Remove parenthesis around (5x) 6cos * 5x + -6sin(10x) = 0 Reorder the terms for easier multiplication: 6 * 5cos * x + -6sin(10x) = 0 Multiply 6 * 5 30cos * x + -6sin(10x) = 0 Multiply cos * x 30cosx + -6sin(10x) = 0 Remove parenthesis around (10x) 30cosx + -6ins * 10x = 0 Reorder the terms for easier multiplication: 30cosx + -6 * 10ins * x = 0 Multiply -6 * 10 30cosx + -60ins * x = 0 Multiply ins * x 30cosx + -60insx = 0 Solving 30cosx + -60insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '60insx' to each side of the equation. 30cosx + -60insx + 60insx = 0 + 60insx Combine like terms: -60insx + 60insx = 0 30cosx + 0 = 0 + 60insx 30cosx = 0 + 60insx Remove the zero: 30cosx = 60insx Divide each side by '30osx'. c = 2ino-1 Simplifying c = 2ino-1
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