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Simplifying 6cosx + 5sin(3x) = 3 Remove parenthesis around (3x) 6cosx + 5ins * 3x = 3 Reorder the terms for easier multiplication: 6cosx + 5 * 3ins * x = 3 Multiply 5 * 3 6cosx + 15ins * x = 3 Multiply ins * x 6cosx + 15insx = 3 Solving 6cosx + 15insx = 3 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15insx' to each side of the equation. 6cosx + 15insx + -15insx = 3 + -15insx Combine like terms: 15insx + -15insx = 0 6cosx + 0 = 3 + -15insx 6cosx = 3 + -15insx Divide each side by '6osx'. c = 0.5o-1s-1x-1 + -2.5ino-1 Simplifying c = 0.5o-1s-1x-1 + -2.5ino-1 Reorder the terms: c = -2.5ino-1 + 0.5o-1s-1x-1
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