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Simplifying sin(18m + -12) = cos(7m + 2) Reorder the terms: ins(-12 + 18m) = cos(7m + 2) (-12 * ins + 18m * ins) = cos(7m + 2) Reorder the terms: (18imns + -12ins) = cos(7m + 2) (18imns + -12ins) = cos(7m + 2) Reorder the terms: 18imns + -12ins = cos(2 + 7m) 18imns + -12ins = (2 * cos + 7m * cos) Reorder the terms: 18imns + -12ins = (7cmos + 2cos) 18imns + -12ins = (7cmos + 2cos) Solving 18imns + -12ins = 7cmos + 2cos Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -7cmos + -2cos + 18imns + -12ins = 7cmos + 2cos + -7cmos + -2cos Reorder the terms: -7cmos + -2cos + 18imns + -12ins = 7cmos + -7cmos + 2cos + -2cos Combine like terms: 7cmos + -7cmos = 0 -7cmos + -2cos + 18imns + -12ins = 0 + 2cos + -2cos -7cmos + -2cos + 18imns + -12ins = 2cos + -2cos Combine like terms: 2cos + -2cos = 0 -7cmos + -2cos + 18imns + -12ins = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-7cmo + -2co + 18imn + -12in) = 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 '(-7cmo + -2co + 18imn + -12in)' equal to zero and attempt to solve: Simplifying -7cmo + -2co + 18imn + -12in = 0 Solving -7cmo + -2co + 18imn + -12in = 0 Move all terms containing i to the left, all other terms to the right. Add '7cmo' to each side of the equation. -7cmo + -2co + 18imn + 7cmo + -12in = 0 + 7cmo Reorder the terms: -7cmo + 7cmo + -2co + 18imn + -12in = 0 + 7cmo Combine like terms: -7cmo + 7cmo = 0 0 + -2co + 18imn + -12in = 0 + 7cmo -2co + 18imn + -12in = 0 + 7cmo Remove the zero: -2co + 18imn + -12in = 7cmo Add '2co' to each side of the equation. -2co + 18imn + 2co + -12in = 7cmo + 2co Reorder the terms: -2co + 2co + 18imn + -12in = 7cmo + 2co Combine like terms: -2co + 2co = 0 0 + 18imn + -12in = 7cmo + 2co 18imn + -12in = 7cmo + 2co 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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