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Simplifying 5cos2(x) + -6sin(2x) = 2 Multiply cos2 * x 5cos2x + -6sin(2x) = 2 Remove parenthesis around (2x) 5cos2x + -6ins * 2x = 2 Reorder the terms for easier multiplication: 5cos2x + -6 * 2ins * x = 2 Multiply -6 * 2 5cos2x + -12ins * x = 2 Multiply ins * x 5cos2x + -12insx = 2 Solving 5cos2x + -12insx = 2 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. 5cos2x + -12insx + 12insx = 2 + 12insx Combine like terms: -12insx + 12insx = 0 5cos2x + 0 = 2 + 12insx 5cos2x = 2 + 12insx Divide each side by '5os2x'. c = 0.4o-1s-2x-1 + 2.4ino-1s-1 Simplifying c = 0.4o-1s-2x-1 + 2.4ino-1s-1 Reorder the terms: c = 2.4ino-1s-1 + 0.4o-1s-2x-1
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