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Simplifying cos(4x + -10) = sin(5x + 10) Reorder the terms: cos(-10 + 4x) = sin(5x + 10) (-10 * cos + 4x * cos) = sin(5x + 10) (-10cos + 4cosx) = sin(5x + 10) Reorder the terms: -10cos + 4cosx = ins(10 + 5x) -10cos + 4cosx = (10 * ins + 5x * ins) -10cos + 4cosx = (10ins + 5insx) Solving -10cos + 4cosx = 10ins + 5insx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: -10cos + 4cosx + -10ins + -5insx = 10ins + -10ins + 5insx + -5insx Combine like terms: 10ins + -10ins = 0 -10cos + 4cosx + -10ins + -5insx = 0 + 5insx + -5insx -10cos + 4cosx + -10ins + -5insx = 5insx + -5insx Combine like terms: 5insx + -5insx = 0 -10cos + 4cosx + -10ins + -5insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-10co + 4cox + -10in + -5inx) = 0Subproblem 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 '(-10co + 4cox + -10in + -5inx)' equal to zero and attempt to solve: Simplifying -10co + 4cox + -10in + -5inx = 0 Solving -10co + 4cox + -10in + -5inx = 0 Move all terms containing c to the left, all other terms to the right. Add '10in' to each side of the equation. -10co + 4cox + -10in + 10in + -5inx = 0 + 10in Combine like terms: -10in + 10in = 0 -10co + 4cox + 0 + -5inx = 0 + 10in -10co + 4cox + -5inx = 0 + 10in Remove the zero: -10co + 4cox + -5inx = 10in Add '5inx' to each side of the equation. -10co + 4cox + -5inx + 5inx = 10in + 5inx Combine like terms: -5inx + 5inx = 0 -10co + 4cox + 0 = 10in + 5inx -10co + 4cox = 10in + 5inx 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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