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Simplifying 6sin(2x) + 8cos(2x) = 7 Remove parenthesis around (2x) 6ins * 2x + 8cos(2x) = 7 Reorder the terms for easier multiplication: 6 * 2ins * x + 8cos(2x) = 7 Multiply 6 * 2 12ins * x + 8cos(2x) = 7 Multiply ins * x 12insx + 8cos(2x) = 7 Remove parenthesis around (2x) 12insx + 8cos * 2x = 7 Reorder the terms for easier multiplication: 12insx + 8 * 2cos * x = 7 Multiply 8 * 2 12insx + 16cos * x = 7 Multiply cos * x 12insx + 16cosx = 7 Reorder the terms: 16cosx + 12insx = 7 Solving 16cosx + 12insx = 7 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12insx' to each side of the equation. 16cosx + 12insx + -12insx = 7 + -12insx Combine like terms: 12insx + -12insx = 0 16cosx + 0 = 7 + -12insx 16cosx = 7 + -12insx Divide each side by '16osx'. c = 0.4375o-1s-1x-1 + -0.75ino-1 Simplifying c = 0.4375o-1s-1x-1 + -0.75ino-1 Reorder the terms: c = -0.75ino-1 + 0.4375o-1s-1x-1
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