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