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Simplifying cos(5x) * cos(2x) + sin(5x) * sin(2x) = 1 Remove parenthesis around (5x) cos * 5x * cos(2x) + sin(5x) * sin(2x) = 1 Remove parenthesis around (2x) cos * 5x * cos * 2x + sin(5x) * sin(2x) = 1 Reorder the terms for easier multiplication: 5 * 2cos * x * cos * x + sin(5x) * sin(2x) = 1 Multiply 5 * 2 10cos * x * cos * x + sin(5x) * sin(2x) = 1 Multiply cos * x 10cosx * cos * x + sin(5x) * sin(2x) = 1 Multiply cosx * cos 10c2o2s2x * x + sin(5x) * sin(2x) = 1 Multiply c2o2s2x * x 10c2o2s2x2 + sin(5x) * sin(2x) = 1 Remove parenthesis around (5x) 10c2o2s2x2 + ins * 5x * sin(2x) = 1 Remove parenthesis around (2x) 10c2o2s2x2 + ins * 5x * ins * 2x = 1 Reorder the terms for easier multiplication: 10c2o2s2x2 + 5 * 2ins * x * ins * x = 1 Multiply 5 * 2 10c2o2s2x2 + 10ins * x * ins * x = 1 Multiply ins * x 10c2o2s2x2 + 10insx * ins * x = 1 Multiply insx * ins 10c2o2s2x2 + 10i2n2s2x * x = 1 Multiply i2n2s2x * x 10c2o2s2x2 + 10i2n2s2x2 = 1 Solving 10c2o2s2x2 + 10i2n2s2x2 = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10i2n2s2x2' to each side of the equation. 10c2o2s2x2 + 10i2n2s2x2 + -10i2n2s2x2 = 1 + -10i2n2s2x2 Combine like terms: 10i2n2s2x2 + -10i2n2s2x2 = 0 10c2o2s2x2 + 0 = 1 + -10i2n2s2x2 10c2o2s2x2 = 1 + -10i2n2s2x2 Divide each side by '10o2s2x2'. c2 = 0.1o-2s-2x-2 + -1i2n2o-2 Simplifying c2 = 0.1o-2s-2x-2 + -1i2n2o-2 Reorder the terms: c2 = -1i2n2o-2 + 0.1o-2s-2x-2 Reorder the terms: c2 + i2n2o-2 + -0.1o-2s-2x-2 = -1i2n2o-2 + i2n2o-2 + 0.1o-2s-2x-2 + -0.1o-2s-2x-2 Combine like terms: -1i2n2o-2 + i2n2o-2 = 0 c2 + i2n2o-2 + -0.1o-2s-2x-2 = 0 + 0.1o-2s-2x-2 + -0.1o-2s-2x-2 c2 + i2n2o-2 + -0.1o-2s-2x-2 = 0.1o-2s-2x-2 + -0.1o-2s-2x-2 Combine like terms: 0.1o-2s-2x-2 + -0.1o-2s-2x-2 = 0.0 c2 + i2n2o-2 + -0.1o-2s-2x-2 = 0.0 The solution to this equation could not be determined.
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