secx(sec-cosx)=tan^2x

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Solution for secx(sec-cosx)=tan^2x equation: 


Simplifying
secx(sec + -1cosx) = tan2x
(ces * cesx + -1cosx * cesx) = tan2x

Reorder the terms:
(-1c2eos2x2 + c2e2s2x) = tan2x
(-1c2eos2x2 + c2e2s2x) = tan2x

Solving
-1c2eos2x2 + c2e2s2x = an2tx

Solving for variable 'c'.

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

Reorder the terms:
-1an2tx + -1c2eos2x2 + c2e2s2x = an2tx + -1an2tx

Combine like terms: an2tx + -1an2tx = 0
-1an2tx + -1c2eos2x2 + c2e2s2x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1an2t + -1c2eos2x + c2e2s2) = 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 '(-1an2t + -1c2eos2x + c2e2s2)' equal to zero and attempt to solve:

Simplifying
-1an2t + -1c2eos2x + c2e2s2 = 0

Solving
-1an2t + -1c2eos2x + c2e2s2 = 0

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

Add 'an2t' to each side of the equation.
-1an2t + -1c2eos2x + an2t + c2e2s2 = 0 + an2t

Reorder the terms:
-1an2t + an2t + -1c2eos2x + c2e2s2 = 0 + an2t

Combine like terms: -1an2t + an2t = 0
0 + -1c2eos2x + c2e2s2 = 0 + an2t
-1c2eos2x + c2e2s2 = 0 + an2t
Remove the zero:
-1c2eos2x + c2e2s2 = an2t

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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