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Simplifying 1 + cos(10x) = 2cos2(5x) Remove parenthesis around (10x) 1 + cos * 10x = 2cos2(5x) Reorder the terms for easier multiplication: 1 + 10cos * x = 2cos2(5x) Multiply cos * x 1 + 10cosx = 2cos2(5x) Remove parenthesis around (5x) 1 + 10cosx = 2cos2 * 5x Reorder the terms for easier multiplication: 1 + 10cosx = 2 * 5cos2 * x Multiply 2 * 5 1 + 10cosx = 10cos2 * x Multiply cos2 * x 1 + 10cosx = 10cos2x Solving 1 + 10cosx = 10cos2x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10cos2x' to each side of the equation. 1 + 10cosx + -10cos2x = 10cos2x + -10cos2x Combine like terms: 10cos2x + -10cos2x = 0 1 + 10cosx + -10cos2x = 0 Add '-1' to each side of the equation. 1 + 10cosx + -1 + -10cos2x = 0 + -1 Reorder the terms: 1 + -1 + 10cosx + -10cos2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10cosx + -10cos2x = 0 + -1 10cosx + -10cos2x = 0 + -1 Combine like terms: 0 + -1 = -1 10cosx + -10cos2x = -1 Reorder the terms: 1 + 10cosx + -10cos2x = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 10cosx + -10cos2x = 0 The solution to this equation could not be determined.
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