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Simplifying sin(2x) * cos(x) = 2cos2(x) Remove parenthesis around (2x) ins * 2x * cos(x) = 2cos2(x) Reorder the terms for easier multiplication: 2ins * x * cos * x = 2cos2(x) Multiply ins * x 2insx * cos * x = 2cos2(x) Multiply insx * cos 2cinos2x * x = 2cos2(x) Multiply cinos2x * x 2cinos2x2 = 2cos2(x) Multiply cos2 * x 2cinos2x2 = 2cos2x Solving 2cinos2x2 = 2cos2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2cos2x' to each side of the equation. 2cinos2x2 + -2cos2x = 2cos2x + -2cos2x Combine like terms: 2cos2x + -2cos2x = 0 2cinos2x2 + -2cos2x = 0 Factor out the Greatest Common Factor (GCF), '2cos2x'. 2cos2x(inx + -1) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'cos2x' equal to zero and attempt to solve: Simplifying cos2x = 0 Solving cos2x = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos2x = 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 '(inx + -1)' equal to zero and attempt to solve: Simplifying inx + -1 = 0 Reorder the terms: -1 + inx = 0 Solving -1 + inx = 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 + inx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + inx = 0 + 1 inx = 0 + 1 Combine like terms: 0 + 1 = 1 inx = 1 Add '-1inx' to each side of the equation. inx + -1inx = 1 + -1inx Combine like terms: inx + -1inx = 0 0 = 1 + -1inx Simplifying 0 = 1 + -1inx 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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