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Simplifying 4cos(2t) + -4sin(4t) = 0 Remove parenthesis around (2t) 4cos * 2t + -4sin(4t) = 0 Reorder the terms for easier multiplication: 4 * 2cos * t + -4sin(4t) = 0 Multiply 4 * 2 8cos * t + -4sin(4t) = 0 Multiply cos * t 8cost + -4sin(4t) = 0 Remove parenthesis around (4t) 8cost + -4ins * 4t = 0 Reorder the terms for easier multiplication: 8cost + -4 * 4ins * t = 0 Multiply -4 * 4 8cost + -16ins * t = 0 Multiply ins * t 8cost + -16inst = 0 Solving 8cost + -16inst = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16inst' to each side of the equation. 8cost + -16inst + 16inst = 0 + 16inst Combine like terms: -16inst + 16inst = 0 8cost + 0 = 0 + 16inst 8cost = 0 + 16inst Remove the zero: 8cost = 16inst Divide each side by '8ost'. c = 2ino-1 Simplifying c = 2ino-1
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