4cisx-3secx=Tanx

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Solution for 4cisx-3secx=Tanx equation:


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) = 0

Subproblem 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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