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Simplifying forsin(3x + 13) = cos(4x) Reorder the terms: finors(13 + 3x) = cos(4x) (13 * finors + 3x * finors) = cos(4x) (13finors + 3finorsx) = cos(4x) Remove parenthesis around (4x) 13finors + 3finorsx = cos * 4x Reorder the terms for easier multiplication: 13finors + 3finorsx = 4cos * x Multiply cos * x 13finors + 3finorsx = 4cosx Solving 13finors + 3finorsx = 4cosx Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -4cosx + 13finors + 3finorsx = 4cosx + -4cosx Combine like terms: 4cosx + -4cosx = 0 -4cosx + 13finors + 3finorsx = 0 Factor out the Greatest Common Factor (GCF), 'os'. os(-4cx + 13finr + 3finrx) = 0Subproblem 1
Set the factor 'os' equal to zero and attempt to solve: Simplifying os = 0 Solving os = 0 Move all terms containing f to the left, all other terms to the right. Add '-1os' to each side of the equation. os + -1os = 0 + -1os Remove the zero: 0 = -1os Simplifying 0 = -1os 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 '(-4cx + 13finr + 3finrx)' equal to zero and attempt to solve: Simplifying -4cx + 13finr + 3finrx = 0 Solving -4cx + 13finr + 3finrx = 0 Move all terms containing f to the left, all other terms to the right. Add '4cx' to each side of the equation. -4cx + 13finr + 4cx + 3finrx = 0 + 4cx Reorder the terms: -4cx + 4cx + 13finr + 3finrx = 0 + 4cx Combine like terms: -4cx + 4cx = 0 0 + 13finr + 3finrx = 0 + 4cx 13finr + 3finrx = 0 + 4cx Remove the zero: 13finr + 3finrx = 4cx 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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