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Simplifying sin(2z + 1) = 2cos(2z + 1) Reorder the terms: ins(1 + 2z) = 2cos(2z + 1) (1 * ins + 2z * ins) = 2cos(2z + 1) (1ins + 2insz) = 2cos(2z + 1) Reorder the terms: 1ins + 2insz = 2cos(1 + 2z) 1ins + 2insz = (1 * 2cos + 2z * 2cos) 1ins + 2insz = (2cos + 4cosz) Solving 1ins + 2insz = 2cos + 4cosz Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -2cos + -4cosz + 1ins + 2insz = 2cos + 4cosz + -2cos + -4cosz Reorder the terms: -2cos + -4cosz + 1ins + 2insz = 2cos + -2cos + 4cosz + -4cosz Combine like terms: 2cos + -2cos = 0 -2cos + -4cosz + 1ins + 2insz = 0 + 4cosz + -4cosz -2cos + -4cosz + 1ins + 2insz = 4cosz + -4cosz Combine like terms: 4cosz + -4cosz = 0 -2cos + -4cosz + 1ins + 2insz = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-2co + -4coz + in + 2inz) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing i to the left, all other terms to the right. Add '-1s' to each side of the equation. s + -1s = 0 + -1s Remove the zero: 0 = -1s Simplifying 0 = -1s 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 '(-2co + -4coz + in + 2inz)' equal to zero and attempt to solve: Simplifying -2co + -4coz + in + 2inz = 0 Solving -2co + -4coz + in + 2inz = 0 Move all terms containing i to the left, all other terms to the right. Add '2co' to each side of the equation. -2co + -4coz + in + 2co + 2inz = 0 + 2co Reorder the terms: -2co + 2co + -4coz + in + 2inz = 0 + 2co Combine like terms: -2co + 2co = 0 0 + -4coz + in + 2inz = 0 + 2co -4coz + in + 2inz = 0 + 2co Remove the zero: -4coz + in + 2inz = 2co Add '4coz' to each side of the equation. -4coz + in + 4coz + 2inz = 2co + 4coz Reorder the terms: -4coz + 4coz + in + 2inz = 2co + 4coz Combine like terms: -4coz + 4coz = 0 0 + in + 2inz = 2co + 4coz in + 2inz = 2co + 4coz 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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