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Simplifying 6cos(2x) + -8sin(2x) = 0 Remove parenthesis around (2x) 6cos * 2x + -8sin(2x) = 0 Reorder the terms for easier multiplication: 6 * 2cos * x + -8sin(2x) = 0 Multiply 6 * 2 12cos * x + -8sin(2x) = 0 Multiply cos * x 12cosx + -8sin(2x) = 0 Remove parenthesis around (2x) 12cosx + -8ins * 2x = 0 Reorder the terms for easier multiplication: 12cosx + -8 * 2ins * x = 0 Multiply -8 * 2 12cosx + -16ins * x = 0 Multiply ins * x 12cosx + -16insx = 0 Solving 12cosx + -16insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16insx' to each side of the equation. 12cosx + -16insx + 16insx = 0 + 16insx Combine like terms: -16insx + 16insx = 0 12cosx + 0 = 0 + 16insx 12cosx = 0 + 16insx Remove the zero: 12cosx = 16insx Divide each side by '12osx'. c = 1.333333333ino-1 Simplifying c = 1.333333333ino-1
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