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