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Simplifying sin4 + -1cos4 = 1 + -2cos2 Reorder the terms: -1cos4 + in4s = 1 + -2cos2 Solving -1cos4 + in4s = 1 + -2cos2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2cos2' to each side of the equation. -1cos4 + 2cos2 + in4s = 1 + -2cos2 + 2cos2 Reorder the terms: 2cos2 + -1cos4 + in4s = 1 + -2cos2 + 2cos2 Combine like terms: -2cos2 + 2cos2 = 0 2cos2 + -1cos4 + in4s = 1 + 0 2cos2 + -1cos4 + in4s = 1 Add '-1in4s' to each side of the equation. 2cos2 + -1cos4 + in4s + -1in4s = 1 + -1in4s Combine like terms: in4s + -1in4s = 0 2cos2 + -1cos4 + 0 = 1 + -1in4s 2cos2 + -1cos4 = 1 + -1in4s Reorder the terms: -1 + 2cos2 + -1cos4 + in4s = 1 + -1in4s + -1 + in4s Reorder the terms: -1 + 2cos2 + -1cos4 + in4s = 1 + -1 + -1in4s + in4s Combine like terms: 1 + -1 = 0 -1 + 2cos2 + -1cos4 + in4s = 0 + -1in4s + in4s -1 + 2cos2 + -1cos4 + in4s = -1in4s + in4s Combine like terms: -1in4s + in4s = 0 -1 + 2cos2 + -1cos4 + in4s = 0 The solution to this equation could not be determined.
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