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Simplifying 8.47 = 12.4cos(6.31t) Remove parenthesis around (6.31t) 8.47 = 12.4cos * 6.31t Reorder the terms for easier multiplication: 8.47 = 12.4 * 6.31cos * t Multiply 12.4 * 6.31 8.47 = 78.244cos * t Multiply cos * t 8.47 = 78.244cost Solving 8.47 = 78.244cost Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-78.244cost' to each side of the equation. 8.47 + -78.244cost = 78.244cost + -78.244cost Combine like terms: 78.244cost + -78.244cost = 0.000 8.47 + -78.244cost = 0.000 Add '-8.47' to each side of the equation. 8.47 + -8.47 + -78.244cost = 0.000 + -8.47 Combine like terms: 8.47 + -8.47 = 0.00 0.00 + -78.244cost = 0.000 + -8.47 -78.244cost = 0.000 + -8.47 Combine like terms: 0.000 + -8.47 = -8.47 -78.244cost = -8.47 Divide each side by '-78.244ost'. c = 0.1082511119o-1s-1t-1 Simplifying c = 0.1082511119o-1s-1t-1
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