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Simplifying 4cisx + -3secx = Tanx Reorder the terms: -3cesx + 4cisx = Tanx Solving -3cesx + 4cisx = anxT Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: -1anxT + -3cesx + 4cisx = anxT + -1anxT Combine like terms: anxT + -1anxT = 0 -1anxT + -3cesx + 4cisx = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1anT + -3ces + 4cis) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(-1anT + -3ces + 4cis)' equal to zero and attempt to solve: Simplifying -1anT + -3ces + 4cis = 0 Solving -1anT + -3ces + 4cis = 0 Move all terms containing c to the left, all other terms to the right. Add 'anT' to each side of the equation. -1anT + -3ces + anT + 4cis = 0 + anT Reorder the terms: -1anT + anT + -3ces + 4cis = 0 + anT Combine like terms: -1anT + anT = 0 0 + -3ces + 4cis = 0 + anT -3ces + 4cis = 0 + anT Remove the zero: -3ces + 4cis = anT 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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