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Simplifying 3cos(2x) + 4sin(2x) = 4 Remove parenthesis around (2x) 3cos * 2x + 4sin(2x) = 4 Reorder the terms for easier multiplication: 3 * 2cos * x + 4sin(2x) = 4 Multiply 3 * 2 6cos * x + 4sin(2x) = 4 Multiply cos * x 6cosx + 4sin(2x) = 4 Remove parenthesis around (2x) 6cosx + 4ins * 2x = 4 Reorder the terms for easier multiplication: 6cosx + 4 * 2ins * x = 4 Multiply 4 * 2 6cosx + 8ins * x = 4 Multiply ins * x 6cosx + 8insx = 4 Solving 6cosx + 8insx = 4 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8insx' to each side of the equation. 6cosx + 8insx + -8insx = 4 + -8insx Combine like terms: 8insx + -8insx = 0 6cosx + 0 = 4 + -8insx 6cosx = 4 + -8insx Divide each side by '6osx'. c = 0.6666666667o-1s-1x-1 + -1.333333333ino-1 Simplifying c = 0.6666666667o-1s-1x-1 + -1.333333333ino-1 Reorder the terms: c = -1.333333333ino-1 + 0.6666666667o-1s-1x-1
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