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Simplifying 5cos(2x) + 12sin(2x) = 0 Remove parenthesis around (2x) 5cos * 2x + 12sin(2x) = 0 Reorder the terms for easier multiplication: 5 * 2cos * x + 12sin(2x) = 0 Multiply 5 * 2 10cos * x + 12sin(2x) = 0 Multiply cos * x 10cosx + 12sin(2x) = 0 Remove parenthesis around (2x) 10cosx + 12ins * 2x = 0 Reorder the terms for easier multiplication: 10cosx + 12 * 2ins * x = 0 Multiply 12 * 2 10cosx + 24ins * x = 0 Multiply ins * x 10cosx + 24insx = 0 Solving 10cosx + 24insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24insx' to each side of the equation. 10cosx + 24insx + -24insx = 0 + -24insx Combine like terms: 24insx + -24insx = 0 10cosx + 0 = 0 + -24insx 10cosx = 0 + -24insx Remove the zero: 10cosx = -24insx Divide each side by '10osx'. c = -2.4ino-1 Simplifying c = -2.4ino-1
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