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Simplifying 8cos(t) + 3sin(t) = 0 Multiply cos * t 8cost + 3sin(t) = 0 Multiply ins * t 8cost + 3inst = 0 Solving 8cost + 3inst = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3inst' to each side of the equation. 8cost + 3inst + -3inst = 0 + -3inst Combine like terms: 3inst + -3inst = 0 8cost + 0 = 0 + -3inst 8cost = 0 + -3inst Remove the zero: 8cost = -3inst Divide each side by '8ost'. c = -0.375ino-1 Simplifying c = -0.375ino-1
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