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Simplifying Sin(2x + -4) = cos(6x) Reorder the terms: inS(-4 + 2x) = cos(6x) (-4 * inS + 2x * inS) = cos(6x) (-4inS + 2inxS) = cos(6x) Remove parenthesis around (6x) -4inS + 2inxS = cos * 6x Reorder the terms for easier multiplication: -4inS + 2inxS = 6cos * x Multiply cos * x -4inS + 2inxS = 6cosx Solving -4inS + 2inxS = 6cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -6cosx + -4inS + 2inxS = 6cosx + -6cosx Combine like terms: 6cosx + -6cosx = 0 -6cosx + -4inS + 2inxS = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3cosx + -2inS + inxS) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3cosx + -2inS + inxS)' equal to zero and attempt to solve: Simplifying -3cosx + -2inS + inxS = 0 Solving -3cosx + -2inS + inxS = 0 Move all terms containing i to the left, all other terms to the right. Add '3cosx' to each side of the equation. -3cosx + -2inS + 3cosx + inxS = 0 + 3cosx Reorder the terms: -3cosx + 3cosx + -2inS + inxS = 0 + 3cosx Combine like terms: -3cosx + 3cosx = 0 0 + -2inS + inxS = 0 + 3cosx -2inS + inxS = 0 + 3cosx Remove the zero: -2inS + inxS = 3cosx 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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