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Simplifying Sin(5x) * cos(7x) = sin(4x) * cos(8x) Remove parenthesis around (5x) inS * 5x * cos(7x) = sin(4x) * cos(8x) Remove parenthesis around (7x) inS * 5x * cos * 7x = sin(4x) * cos(8x) Reorder the terms for easier multiplication: 5 * 7inS * x * cos * x = sin(4x) * cos(8x) Multiply 5 * 7 35inS * x * cos * x = sin(4x) * cos(8x) Multiply inS * x 35inxS * cos * x = sin(4x) * cos(8x) Multiply inxS * cos 35cinosxS * x = sin(4x) * cos(8x) Multiply cinosxS * x 35cinosx2S = sin(4x) * cos(8x) Remove parenthesis around (4x) 35cinosx2S = ins * 4x * cos(8x) Remove parenthesis around (8x) 35cinosx2S = ins * 4x * cos * 8x Reorder the terms for easier multiplication: 35cinosx2S = 4 * 8ins * x * cos * x Multiply 4 * 8 35cinosx2S = 32ins * x * cos * x Multiply ins * x 35cinosx2S = 32insx * cos * x Multiply insx * cos 35cinosx2S = 32cinos2x * x Multiply cinos2x * x 35cinosx2S = 32cinos2x2 Solving 35cinosx2S = 32cinos2x2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-32cinos2x2' to each side of the equation. 35cinosx2S + -32cinos2x2 = 32cinos2x2 + -32cinos2x2 Combine like terms: 32cinos2x2 + -32cinos2x2 = 0 35cinosx2S + -32cinos2x2 = 0 Factor out the Greatest Common Factor (GCF), 'cinosx2'. cinosx2(35S + -32s) = 0Subproblem 1
Set the factor 'cinosx2' equal to zero and attempt to solve: Simplifying cinosx2 = 0 Solving cinosx2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cinosx2 = 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 '(35S + -32s)' equal to zero and attempt to solve: Simplifying 35S + -32s = 0 Solving 35S + -32s = 0 Move all terms containing c to the left, all other terms to the right. Add '-35S' to each side of the equation. 35S + -35S + -32s = 0 + -35S Combine like terms: 35S + -35S = 0 0 + -32s = 0 + -35S -32s = 0 + -35S Remove the zero: -32s = -35S Add '32s' to each side of the equation. -32s + 32s = -35S + 32s Combine like terms: -32s + 32s = 0 0 = -35S + 32s Simplifying 0 = -35S + 32s 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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