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Simplifying sinx5 * cosx2 = (cosx2 + -2cosx4 + cosx6) * sinx Multiply insx5 * cosx2 cinos2x7 = (cosx2 + -2cosx4 + cosx6) * sinx Reorder the terms for easier multiplication: cinos2x7 = insx(cosx2 + -2cosx4 + cosx6) cinos2x7 = (cosx2 * insx + -2cosx4 * insx + cosx6 * insx) cinos2x7 = (cinos2x3 + -2cinos2x5 + cinos2x7) Add '-1cinos2x7' to each side of the equation. cinos2x7 + -1cinos2x7 = cinos2x3 + -2cinos2x5 + cinos2x7 + -1cinos2x7 Combine like terms: cinos2x7 + -1cinos2x7 = 0 0 = cinos2x3 + -2cinos2x5 + cinos2x7 + -1cinos2x7 Combine like terms: cinos2x7 + -1cinos2x7 = 0 0 = cinos2x3 + -2cinos2x5 + 0 0 = cinos2x3 + -2cinos2x5 Solving 0 = cinos2x3 + -2cinos2x5 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1cinos2x3' to each side of the equation. 0 + -1cinos2x3 = cinos2x3 + -1cinos2x3 + -2cinos2x5 Remove the zero: -1cinos2x3 = cinos2x3 + -1cinos2x3 + -2cinos2x5 Combine like terms: cinos2x3 + -1cinos2x3 = 0 -1cinos2x3 = 0 + -2cinos2x5 -1cinos2x3 = -2cinos2x5 Add '2cinos2x5' to each side of the equation. -1cinos2x3 + 2cinos2x5 = -2cinos2x5 + 2cinos2x5 Combine like terms: -2cinos2x5 + 2cinos2x5 = 0 -1cinos2x3 + 2cinos2x5 = 0 Factor out the Greatest Common Factor (GCF), 'cinos2x3'. cinos2x3(-1 + 2x2) = 0Subproblem 1
Set the factor 'cinos2x3' equal to zero and attempt to solve: Simplifying cinos2x3 = 0 Solving cinos2x3 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cinos2x3 = 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 '(-1 + 2x2)' equal to zero and attempt to solve: Simplifying -1 + 2x2 = 0 Solving -1 + 2x2 = 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 + 2x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x2 = 0 + 1 2x2 = 0 + 1 Combine like terms: 0 + 1 = 1 2x2 = 1 Add '-2x2' to each side of the equation. 2x2 + -2x2 = 1 + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = 1 + -2x2 Simplifying 0 = 1 + -2x2 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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