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Simplifying Sin(7x) + -1sin(5x) = cos(6x) Remove parenthesis around (7x) inS * 7x + -1sin(5x) = cos(6x) Reorder the terms for easier multiplication: 7inS * x + -1sin(5x) = cos(6x) Multiply inS * x 7inxS + -1sin(5x) = cos(6x) Remove parenthesis around (5x) 7inxS + -1ins * 5x = cos(6x) Reorder the terms for easier multiplication: 7inxS + -1 * 5ins * x = cos(6x) Multiply -1 * 5 7inxS + -5ins * x = cos(6x) Multiply ins * x 7inxS + -5insx = cos(6x) Reorder the terms: -5insx + 7inxS = cos(6x) Remove parenthesis around (6x) -5insx + 7inxS = cos * 6x Reorder the terms for easier multiplication: -5insx + 7inxS = 6cos * x Multiply cos * x -5insx + 7inxS = 6cosx Solving -5insx + 7inxS = 6cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -6cosx + -5insx + 7inxS = 6cosx + -6cosx Combine like terms: 6cosx + -6cosx = 0 -6cosx + -5insx + 7inxS = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-6cos + -5ins + 7inS) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing i 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 '(-6cos + -5ins + 7inS)' equal to zero and attempt to solve: Simplifying -6cos + -5ins + 7inS = 0 Reorder the terms: -6cos + 7inS + -5ins = 0 Solving -6cos + 7inS + -5ins = 0 Move all terms containing i to the left, all other terms to the right. Add '6cos' to each side of the equation. -6cos + 7inS + 6cos + -5ins = 0 + 6cos Reorder the terms: -6cos + 6cos + 7inS + -5ins = 0 + 6cos Combine like terms: -6cos + 6cos = 0 0 + 7inS + -5ins = 0 + 6cos 7inS + -5ins = 0 + 6cos Remove the zero: 7inS + -5ins = 6cos 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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