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