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Simplifying 4sin(2x) + -3cos(2x) = 4 Remove parenthesis around (2x) 4ins * 2x + -3cos(2x) = 4 Reorder the terms for easier multiplication: 4 * 2ins * x + -3cos(2x) = 4 Multiply 4 * 2 8ins * x + -3cos(2x) = 4 Multiply ins * x 8insx + -3cos(2x) = 4 Remove parenthesis around (2x) 8insx + -3cos * 2x = 4 Reorder the terms for easier multiplication: 8insx + -3 * 2cos * x = 4 Multiply -3 * 2 8insx + -6cos * x = 4 Multiply cos * x 8insx + -6cosx = 4 Reorder the terms: -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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