2secx=tgx+ctgx

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Solution for 2secx=tgx+ctgx equation: 


Simplifying
2secx = tgx + ctgx

Reorder the terms:
2cesx = cgtx + gtx

Solving
2cesx = cgtx + gtx

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-1cgtx' to each side of the equation.
2cesx + -1cgtx = cgtx + -1cgtx + gtx

Combine like terms: cgtx + -1cgtx = 0
2cesx + -1cgtx = 0 + gtx
2cesx + -1cgtx = gtx

Combine like terms: gtx + -1gtx = 0
2cesx + -1cgtx + -1gtx = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(2ces + -1cgt + -1gt) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing c to the left, all other terms to the right.

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

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 '(2ces + -1cgt + -1gt)' equal to zero and attempt to solve:

Simplifying
2ces + -1cgt + -1gt = 0

Solving
2ces + -1cgt + -1gt = 0

Move all terms containing c to the left, all other terms to the right.

Add 'gt' to each side of the equation.
2ces + -1cgt + -1gt + gt = 0 + gt

Combine like terms: -1gt + gt = 0
2ces + -1cgt + 0 = 0 + gt
2ces + -1cgt = 0 + gt
Remove the zero:
2ces + -1cgt = gt

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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