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Simplifying sec2x + 1 = 3tanx Reorder the terms: 1 + c2esx = 3tanx Solving 1 + c2esx = 3antx 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 + c2esx = -1 + 3antx Combine like terms: 1 + -1 = 0 0 + c2esx = -1 + 3antx c2esx = -1 + 3antx Divide each side by 'esx'. c2 = -1e-1s-1x-1 + 3ae-1ns-1t Simplifying c2 = -1e-1s-1x-1 + 3ae-1ns-1t Reorder the terms: c2 = 3ae-1ns-1t + -1e-1s-1x-1 Reorder the terms: -3ae-1ns-1t + c2 + e-1s-1x-1 = 3ae-1ns-1t + -1e-1s-1x-1 + -3ae-1ns-1t + e-1s-1x-1 Reorder the terms: -3ae-1ns-1t + c2 + e-1s-1x-1 = 3ae-1ns-1t + -3ae-1ns-1t + -1e-1s-1x-1 + e-1s-1x-1 Combine like terms: 3ae-1ns-1t + -3ae-1ns-1t = 0 -3ae-1ns-1t + c2 + e-1s-1x-1 = 0 + -1e-1s-1x-1 + e-1s-1x-1 -3ae-1ns-1t + c2 + e-1s-1x-1 = -1e-1s-1x-1 + e-1s-1x-1 Combine like terms: -1e-1s-1x-1 + e-1s-1x-1 = 0 -3ae-1ns-1t + c2 + e-1s-1x-1 = 0 The solution to this equation could not be determined.
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