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Simplifying 5cos2(5t) + -5sin2(5t) = 0 Remove parenthesis around (5t) 5cos2 * 5t + -5sin2(5t) = 0 Reorder the terms for easier multiplication: 5 * 5cos2 * t + -5sin2(5t) = 0 Multiply 5 * 5 25cos2 * t + -5sin2(5t) = 0 Multiply cos2 * t 25cos2t + -5sin2(5t) = 0 Remove parenthesis around (5t) 25cos2t + -5in2s * 5t = 0 Reorder the terms for easier multiplication: 25cos2t + -5 * 5in2s * t = 0 Multiply -5 * 5 25cos2t + -25in2s * t = 0 Multiply in2s * t 25cos2t + -25in2st = 0 Solving 25cos2t + -25in2st = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '25in2st' to each side of the equation. 25cos2t + -25in2st + 25in2st = 0 + 25in2st Combine like terms: -25in2st + 25in2st = 0 25cos2t + 0 = 0 + 25in2st 25cos2t = 0 + 25in2st Remove the zero: 25cos2t = 25in2st Divide each side by '25os2t'. c = in2o-1s-1 Simplifying c = in2o-1s-1
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