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Simplifying -6 = -3sin(t) + 8cos(t) Multiply ins * t -6 = -3inst + 8cos(t) Multiply cos * t -6 = -3inst + 8cost Reorder the terms: -6 = 8cost + -3inst Solving -6 = 8cost + -3inst Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8cost' to each side of the equation. -6 + -8cost = 8cost + -8cost + -3inst Combine like terms: 8cost + -8cost = 0 -6 + -8cost = 0 + -3inst -6 + -8cost = -3inst Add '6' to each side of the equation. -6 + 6 + -8cost = 6 + -3inst Combine like terms: -6 + 6 = 0 0 + -8cost = 6 + -3inst -8cost = 6 + -3inst Divide each side by '-8ost'. c = -0.75o-1s-1t-1 + 0.375ino-1 Simplifying c = -0.75o-1s-1t-1 + 0.375ino-1 Reorder the terms: c = 0.375ino-1 + -0.75o-1s-1t-1
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