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Simplifying 2tanx * cosx = tanx Multiply antx * cosx 2acnostx2 = tanx Solving 2acnostx2 = antx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1antx' to each side of the equation. 2acnostx2 + -1antx = antx + -1antx Combine like terms: antx + -1antx = 0 2acnostx2 + -1antx = 0 Factor out the Greatest Common Factor (GCF), 'antx'. antx(2cosx + -1) = 0Subproblem 1
Set the factor 'antx' equal to zero and attempt to solve: Simplifying antx = 0 Solving antx = 0 Move all terms containing a to the left, all other terms to the right. Simplifying antx = 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 '(2cosx + -1)' equal to zero and attempt to solve: Simplifying 2cosx + -1 = 0 Reorder the terms: -1 + 2cosx = 0 Solving -1 + 2cosx = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2cosx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2cosx = 0 + 1 2cosx = 0 + 1 Combine like terms: 0 + 1 = 1 2cosx = 1 Add '-2cosx' to each side of the equation. 2cosx + -2cosx = 1 + -2cosx Combine like terms: 2cosx + -2cosx = 0 0 = 1 + -2cosx Simplifying 0 = 1 + -2cosx 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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