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Simplifying 21sin(x) * cos(x) = -6cos(x) Multiply ins * x 21insx * cos * x = -6cos(x) Multiply insx * cos 21cinos2x * x = -6cos(x) Multiply cinos2x * x 21cinos2x2 = -6cos(x) Multiply cos * x 21cinos2x2 = -6cosx Solving 21cinos2x2 = -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. 21cinos2x2 + 6cosx = -6cosx + 6cosx Combine like terms: -6cosx + 6cosx = 0 21cinos2x2 + 6cosx = 0 Factor out the Greatest Common Factor (GCF), '3cosx'. 3cosx(7insx + 2) = 0 Ignore the factor 3.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 '(7insx + 2)' equal to zero and attempt to solve: Simplifying 7insx + 2 = 0 Reorder the terms: 2 + 7insx = 0 Solving 2 + 7insx = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7insx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7insx = 0 + -2 7insx = 0 + -2 Combine like terms: 0 + -2 = -2 7insx = -2 Add '-7insx' to each side of the equation. 7insx + -7insx = -2 + -7insx Combine like terms: 7insx + -7insx = 0 0 = -2 + -7insx Simplifying 0 = -2 + -7insx 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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