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Simplifying 3cos(4x) + 4sin(4x) = 0 Remove parenthesis around (4x) 3cos * 4x + 4sin(4x) = 0 Reorder the terms for easier multiplication: 3 * 4cos * x + 4sin(4x) = 0 Multiply 3 * 4 12cos * x + 4sin(4x) = 0 Multiply cos * x 12cosx + 4sin(4x) = 0 Remove parenthesis around (4x) 12cosx + 4ins * 4x = 0 Reorder the terms for easier multiplication: 12cosx + 4 * 4ins * x = 0 Multiply 4 * 4 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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