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Simplifying -10sin(t) + 2cos(t) = 0 Multiply ins * t -10inst + 2cos(t) = 0 Multiply cos * t -10inst + 2cost = 0 Reorder the terms: 2cost + -10inst = 0 Solving 2cost + -10inst = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10inst' to each side of the equation. 2cost + -10inst + 10inst = 0 + 10inst Combine like terms: -10inst + 10inst = 0 2cost + 0 = 0 + 10inst 2cost = 0 + 10inst Remove the zero: 2cost = 10inst Divide each side by '2ost'. c = 5ino-1 Simplifying c = 5ino-1
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