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Simplifying 40cos(1800t + 60) = 0 Reorder the terms: 40cos(60 + 1800t) = 0 (60 * 40cos + 1800t * 40cos) = 0 (2400cos + 72000cost) = 0 Solving 2400cos + 72000cost = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2400cos'. 2400cos(1 + 30t) = 0 Ignore the factor 2400.Subproblem 1
Set the factor 'cos' equal to zero and attempt to solve: Simplifying cos = 0 Solving cos = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 30t)' equal to zero and attempt to solve: Simplifying 1 + 30t = 0 Solving 1 + 30t = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 30t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 30t = 0 + -1 30t = 0 + -1 Combine like terms: 0 + -1 = -1 30t = -1 Add '-30t' to each side of the equation. 30t + -30t = -1 + -30t Combine like terms: 30t + -30t = 0 0 = -1 + -30t Simplifying 0 = -1 + -30t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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