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Simplifying 2sin(x) * sec(x) = sec(x) Multiply ins * x 2insx * ces * x = sec(x) Multiply insx * ces 2ceins^{2}x * x = sec(x) Multiply ceins^{2}x * x 2ceins^{2}x^{2}= sec(x) Multiply ces * x 2ceins^{2}x^{2}= cesx Solving 2ceins^{2}x^{2}= cesx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1cesx' to each side of the equation. 2ceins^{2}x^{2}+ -1cesx = cesx + -1cesx Combine like terms: cesx + -1cesx = 0 2ceins^{2}x^{2}+ -1cesx = 0 Factor out the Greatest Common Factor (GCF), 'cesx'. cesx(2insx + -1) = 0## Subproblem 1

Set the factor 'cesx' equal to zero and attempt to solve: Simplifying cesx = 0 Solving cesx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cesx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.## Subproblem 2

Set the factor '(2insx + -1)' equal to zero and attempt to solve: Simplifying 2insx + -1 = 0 Reorder the terms: -1 + 2insx = 0 Solving -1 + 2insx = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2insx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2insx = 0 + 1 2insx = 0 + 1 Combine like terms: 0 + 1 = 1 2insx = 1 Add '-2insx' to each side of the equation. 2insx + -2insx = 1 + -2insx Combine like terms: 2insx + -2insx = 0 0 = 1 + -2insx Simplifying 0 = 1 + -2insx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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