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Simplifying tan(x) + tan(2x) = 1 + -1tan(x) * tan(2x) Multiply ant * x antx + tan(2x) = 1 + -1tan(x) * tan(2x) Remove parenthesis around (2x) antx + ant * 2x = 1 + -1tan(x) * tan(2x) Reorder the terms for easier multiplication: antx + 2ant * x = 1 + -1tan(x) * tan(2x) Multiply ant * x antx + 2antx = 1 + -1tan(x) * tan(2x) Combine like terms: antx + 2antx = 3antx 3antx = 1 + -1tan(x) * tan(2x) Remove parenthesis around (2x) 3antx = 1 + -1ant * x * ant * 2x Reorder the terms for easier multiplication: 3antx = 1 + -1 * 2ant * x * ant * x Multiply -1 * 2 3antx = 1 + -2ant * x * ant * x Multiply ant * x 3antx = 1 + -2antx * ant * x Multiply antx * ant 3antx = 1 + -2a2n2t2x * x Multiply a2n2t2x * x 3antx = 1 + -2a2n2t2x2 Solving 3antx = 1 + -2a2n2t2x2 Solving for variable 'a'. Reorder the terms: -1 + 3antx + 2a2n2t2x2 = 1 + -2a2n2t2x2 + -1 + 2a2n2t2x2 Reorder the terms: -1 + 3antx + 2a2n2t2x2 = 1 + -1 + -2a2n2t2x2 + 2a2n2t2x2 Combine like terms: 1 + -1 = 0 -1 + 3antx + 2a2n2t2x2 = 0 + -2a2n2t2x2 + 2a2n2t2x2 -1 + 3antx + 2a2n2t2x2 = -2a2n2t2x2 + 2a2n2t2x2 Combine like terms: -2a2n2t2x2 + 2a2n2t2x2 = 0 -1 + 3antx + 2a2n2t2x2 = 0 The solution to this equation could not be determined.
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