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Simplifying sin2x + sinx = cos2x Reorder the terms: insx + in2sx = cos2x Solving insx + in2sx = cos2x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -1cos2x + insx + in2sx = cos2x + -1cos2x Combine like terms: cos2x + -1cos2x = 0 -1cos2x + insx + in2sx = 0 Factor out the Greatest Common Factor (GCF), 'sx'. sx(-1cos + in + in2) = 0Subproblem 1
Set the factor 'sx' equal to zero and attempt to solve: Simplifying sx = 0 Solving sx = 0 Move all terms containing i to the left, all other terms to the right. Add '-1sx' to each side of the equation. sx + -1sx = 0 + -1sx Remove the zero: 0 = -1sx Simplifying 0 = -1sx 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 '(-1cos + in + in2)' equal to zero and attempt to solve: Simplifying -1cos + in + in2 = 0 Solving -1cos + in + in2 = 0 Move all terms containing i to the left, all other terms to the right. Add 'cos' to each side of the equation. -1cos + in + cos + in2 = 0 + cos Reorder the terms: -1cos + cos + in + in2 = 0 + cos Combine like terms: -1cos + cos = 0 0 + in + in2 = 0 + cos in + in2 = 0 + cos Remove the zero: in + in2 = cos 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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