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Simplifying 20cos(2t) + -30sin(2t) = 0 Remove parenthesis around (2t) 20cos * 2t + -30sin(2t) = 0 Reorder the terms for easier multiplication: 20 * 2cos * t + -30sin(2t) = 0 Multiply 20 * 2 40cos * t + -30sin(2t) = 0 Multiply cos * t 40cost + -30sin(2t) = 0 Remove parenthesis around (2t) 40cost + -30ins * 2t = 0 Reorder the terms for easier multiplication: 40cost + -30 * 2ins * t = 0 Multiply -30 * 2 40cost + -60ins * t = 0 Multiply ins * t 40cost + -60inst = 0 Solving 40cost + -60inst = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '60inst' to each side of the equation. 40cost + -60inst + 60inst = 0 + 60inst Combine like terms: -60inst + 60inst = 0 40cost + 0 = 0 + 60inst 40cost = 0 + 60inst Remove the zero: 40cost = 60inst Divide each side by '40ost'. c = 1.5ino-1 Simplifying c = 1.5ino-1
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