2cos(x-1)=secx

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Solution for 2cos(x-1)=secx equation:


Simplifying
2cos(x + -1) = secx

Reorder the terms:
2cos(-1 + x) = secx
(-1 * 2cos + x * 2cos) = secx
(-2cos + 2cosx) = secx

Solving
-2cos + 2cosx = 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.
-2cos + -1cesx + 2cosx = cesx + -1cesx

Reorder the terms:
-1cesx + -2cos + 2cosx = cesx + -1cesx

Combine like terms: cesx + -1cesx = 0
-1cesx + -2cos + 2cosx = 0

Factor out the Greatest Common Factor (GCF), 'cs'.
cs(-1ex + -2o + 2ox) = 0

Subproblem 1

Set the factor 'cs' equal to zero and attempt to solve: Simplifying cs = 0 Solving cs = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cs = 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 '(-1ex + -2o + 2ox)' equal to zero and attempt to solve: Simplifying -1ex + -2o + 2ox = 0 Solving -1ex + -2o + 2ox = 0 Move all terms containing c to the left, all other terms to the right. Add 'ex' to each side of the equation. -1ex + -2o + ex + 2ox = 0 + ex Reorder the terms: -1ex + ex + -2o + 2ox = 0 + ex Combine like terms: -1ex + ex = 0 0 + -2o + 2ox = 0 + ex -2o + 2ox = 0 + ex Remove the zero: -2o + 2ox = ex Add '2o' to each side of the equation. -2o + 2o + 2ox = ex + 2o Combine like terms: -2o + 2o = 0 0 + 2ox = ex + 2o 2ox = ex + 2o Add '-2ox' to each side of the equation. 2ox + -2ox = ex + 2o + -2ox Combine like terms: 2ox + -2ox = 0 0 = ex + 2o + -2ox Simplifying 0 = ex + 2o + -2ox 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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