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Simplifying 2cosx * sinx + -1cosx = 0 Multiply cosx * insx 2cinos^{2}x^{2}+ -1cosx = 0 Solving 2cinos^{2}x^{2}+ -1cosx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(2insx + -1) = 0## 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 '(2insx + -1)' equal to zero and attempt to solve: Simplifying 2insx + -1 = 0 Reorder the terms: -1 + 2insx = 0 Solving -1 + 2insx = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2insx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2insx = 0 + 1 2insx = 0 + 1 Combine like terms: 0 + 1 = 1 2insx = 1 Add '-2insx' to each side of the equation. 2insx + -2insx = 1 + -2insx Combine like terms: 2insx + -2insx = 0 0 = 1 + -2insx Simplifying 0 = 1 + -2insx 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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