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Simplifying mcosx + msinx = cos2x Solving cmosx + imnsx = cos2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1cos2x' to each side of the equation. cmosx + -1cos2x + imnsx = cos2x + -1cos2x Combine like terms: cos2x + -1cos2x = 0 cmosx + -1cos2x + imnsx = 0 Add '-1imnsx' to each side of the equation. cmosx + -1cos2x + imnsx + -1imnsx = 0 + -1imnsx Combine like terms: imnsx + -1imnsx = 0 cmosx + -1cos2x + 0 = 0 + -1imnsx cmosx + -1cos2x = 0 + -1imnsx Remove the zero: cmosx + -1cos2x = -1imnsx Combine like terms: -1imnsx + imnsx = 0 cmosx + -1cos2x + imnsx = 0 Factor out the Greatest Common Factor (GCF), 'sx'. sx(cmo + -1cos + imn) = 0Subproblem 1
Set the factor 'sx' equal to zero and attempt to solve: Simplifying sx = 0 Solving sx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1sx' to each side of the equation. sx + -1sx = 0 + -1sx Remove the zero: 0 = -1sx Simplifying 0 = -1sx 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 '(cmo + -1cos + imn)' equal to zero and attempt to solve: Simplifying cmo + -1cos + imn = 0 Solving cmo + -1cos + imn = 0 Move all terms containing c to the left, all other terms to the right. Add '-1imn' to each side of the equation. cmo + -1cos + imn + -1imn = 0 + -1imn Combine like terms: imn + -1imn = 0 cmo + -1cos + 0 = 0 + -1imn cmo + -1cos = 0 + -1imn Remove the zero: cmo + -1cos = -1imn 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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