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Simplifying (1 + -1cosA)(1 + cosA) = sin2A Multiply (1 + -1cosA) * (1 + cosA) (1(1 + cosA) + -1cosA * (1 + cosA)) = sin2A ((1 * 1 + cosA * 1) + -1cosA * (1 + cosA)) = sin2A ((1 + 1cosA) + -1cosA * (1 + cosA)) = sin2A (1 + 1cosA + (1 * -1cosA + cosA * -1cosA)) = sin2A (1 + 1cosA + (-1cosA + -1c2o2s2A2)) = sin2A Combine like terms: 1cosA + -1cosA = 0 (1 + 0 + -1c2o2s2A2) = sin2A (1 + -1c2o2s2A2) = sin2A Solving 1 + -1c2o2s2A2 = in2sA Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1c2o2s2A2 = -1 + in2sA Combine like terms: 1 + -1 = 0 0 + -1c2o2s2A2 = -1 + in2sA -1c2o2s2A2 = -1 + in2sA Divide each side by '-1o2s2A2'. c2 = o-2s-2A-2 + -1in2o-2s-1A-1 Simplifying c2 = o-2s-2A-2 + -1in2o-2s-1A-1 Reorder the terms: c2 = -1in2o-2s-1A-1 + o-2s-2A-2 Reorder the terms: c2 + in2o-2s-1A-1 + -1o-2s-2A-2 = -1in2o-2s-1A-1 + in2o-2s-1A-1 + o-2s-2A-2 + -1o-2s-2A-2 Combine like terms: -1in2o-2s-1A-1 + in2o-2s-1A-1 = 0 c2 + in2o-2s-1A-1 + -1o-2s-2A-2 = 0 + o-2s-2A-2 + -1o-2s-2A-2 c2 + in2o-2s-1A-1 + -1o-2s-2A-2 = o-2s-2A-2 + -1o-2s-2A-2 Combine like terms: o-2s-2A-2 + -1o-2s-2A-2 = 0 c2 + in2o-2s-1A-1 + -1o-2s-2A-2 = 0 The solution to this equation could not be determined.
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