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Simplifying sinx * cosx + -1sin2x + -1cosx + sinx = 0 Multiply insx * cosx cinos2x2 + -1sin2x + -1cosx + sinx = 0 Reorder the terms: cinos2x2 + -1cosx + insx + -1in2sx = 0 Solving cinos2x2 + -1cosx + insx + -1in2sx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1insx' to each side of the equation. cinos2x2 + -1cosx + insx + -1insx + -1in2sx = 0 + -1insx Combine like terms: insx + -1insx = 0 cinos2x2 + -1cosx + 0 + -1in2sx = 0 + -1insx cinos2x2 + -1cosx + -1in2sx = 0 + -1insx Remove the zero: cinos2x2 + -1cosx + -1in2sx = -1insx Add 'in2sx' to each side of the equation. cinos2x2 + -1cosx + -1in2sx + in2sx = -1insx + in2sx Combine like terms: -1in2sx + in2sx = 0 cinos2x2 + -1cosx + 0 = -1insx + in2sx cinos2x2 + -1cosx = -1insx + in2sx Reorder the terms: cinos2x2 + -1cosx + insx + -1in2sx = -1insx + insx + in2sx + -1in2sx Combine like terms: -1insx + insx = 0 cinos2x2 + -1cosx + insx + -1in2sx = 0 + in2sx + -1in2sx cinos2x2 + -1cosx + insx + -1in2sx = in2sx + -1in2sx Combine like terms: in2sx + -1in2sx = 0 cinos2x2 + -1cosx + insx + -1in2sx = 0 Factor out the Greatest Common Factor (GCF), 'sx'. sx(cinosx + -1co + in + -1in2) = 0Subproblem 1
Set the factor 'sx' equal to zero and attempt to solve: Simplifying sx = 0 Solving sx = 0 Move all terms containing c 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 '(cinosx + -1co + in + -1in2)' equal to zero and attempt to solve: Simplifying cinosx + -1co + in + -1in2 = 0 Solving cinosx + -1co + in + -1in2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1in' to each side of the equation. cinosx + -1co + in + -1in + -1in2 = 0 + -1in Combine like terms: in + -1in = 0 cinosx + -1co + 0 + -1in2 = 0 + -1in cinosx + -1co + -1in2 = 0 + -1in Remove the zero: cinosx + -1co + -1in2 = -1in Add 'in2' to each side of the equation. cinosx + -1co + -1in2 + in2 = -1in + in2 Combine like terms: -1in2 + in2 = 0 cinosx + -1co + 0 = -1in + in2 cinosx + -1co = -1in + in2 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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