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Simplifying 5sin2a + -5sin4a = 5cos2a + -5cos4a Solving 5ain2s + -5ain4s = 5acos2 + -5acos4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5acos2' to each side of the equation. 5ain2s + -5acos2 + -5ain4s = 5acos2 + -5acos2 + -5acos4 Reorder the terms: -5acos2 + 5ain2s + -5ain4s = 5acos2 + -5acos2 + -5acos4 Combine like terms: 5acos2 + -5acos2 = 0 -5acos2 + 5ain2s + -5ain4s = 0 + -5acos4 -5acos2 + 5ain2s + -5ain4s = -5acos4 Add '5acos4' to each side of the equation. -5acos2 + 5ain2s + 5acos4 + -5ain4s = -5acos4 + 5acos4 Reorder the terms: -5acos2 + 5acos4 + 5ain2s + -5ain4s = -5acos4 + 5acos4 Combine like terms: -5acos4 + 5acos4 = 0 -5acos2 + 5acos4 + 5ain2s + -5ain4s = 0 Factor out the Greatest Common Factor (GCF), '5as'. 5as(-1cos + cos3 + in2 + -1in4) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'as' equal to zero and attempt to solve: Simplifying as = 0 Solving as = 0 Move all terms containing a to the left, all other terms to the right. Simplifying as = 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 '(-1cos + cos3 + in2 + -1in4)' equal to zero and attempt to solve: Simplifying -1cos + cos3 + in2 + -1in4 = 0 Solving -1cos + cos3 + in2 + -1in4 = 0 Move all terms containing a to the left, all other terms to the right. Add 'cos' to each side of the equation. -1cos + cos3 + in2 + cos + -1in4 = 0 + cos Reorder the terms: -1cos + cos + cos3 + in2 + -1in4 = 0 + cos Combine like terms: -1cos + cos = 0 0 + cos3 + in2 + -1in4 = 0 + cos cos3 + in2 + -1in4 = 0 + cos Remove the zero: cos3 + in2 + -1in4 = cos Add '-1cos3' to each side of the equation. cos3 + in2 + -1cos3 + -1in4 = cos + -1cos3 Reorder the terms: cos3 + -1cos3 + in2 + -1in4 = cos + -1cos3 Combine like terms: cos3 + -1cos3 = 0 0 + in2 + -1in4 = cos + -1cos3 in2 + -1in4 = cos + -1cos3 Add '-1in2' to each side of the equation. in2 + -1in2 + -1in4 = cos + -1cos3 + -1in2 Combine like terms: in2 + -1in2 = 0 0 + -1in4 = cos + -1cos3 + -1in2 -1in4 = cos + -1cos3 + -1in2 Add 'in4' to each side of the equation. -1in4 + in4 = cos + -1cos3 + -1in2 + in4 Combine like terms: -1in4 + in4 = 0 0 = cos + -1cos3 + -1in2 + in4 Simplifying 0 = cos + -1cos3 + -1in2 + in4 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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