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Simplifying 10sin(x) * cos(x) = 6cos(x) Multiply ins * x 10insx * cos * x = 6cos(x) Multiply insx * cos 10cinos2x * x = 6cos(x) Multiply cinos2x * x 10cinos2x2 = 6cos(x) Multiply cos * x 10cinos2x2 = 6cosx Solving 10cinos2x2 = 6cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6cosx' to each side of the equation. 10cinos2x2 + -6cosx = 6cosx + -6cosx Combine like terms: 6cosx + -6cosx = 0 10cinos2x2 + -6cosx = 0 Factor out the Greatest Common Factor (GCF), '2cosx'. 2cosx(5insx + -3) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 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 '(5insx + -3)' equal to zero and attempt to solve: Simplifying 5insx + -3 = 0 Reorder the terms: -3 + 5insx = 0 Solving -3 + 5insx = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5insx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5insx = 0 + 3 5insx = 0 + 3 Combine like terms: 0 + 3 = 3 5insx = 3 Add '-5insx' to each side of the equation. 5insx + -5insx = 3 + -5insx Combine like terms: 5insx + -5insx = 0 0 = 3 + -5insx Simplifying 0 = 3 + -5insx 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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