cos^2x(tanx-secx)(tanx+secx)=1

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


Simplifying
cos2x(tanx + -1secx)(tanx + secx) = 1

Multiply (antx + -1cesx) * (antx + cesx)
cos2x(antx(antx + cesx) + -1cesx * (antx + cesx)) = 1
cos2x((antx * antx + cesx * antx) + -1cesx * (antx + cesx)) = 1

Reorder the terms:
cos2x((acenstx2 + a2n2t2x2) + -1cesx * (antx + cesx)) = 1
cos2x((acenstx2 + a2n2t2x2) + -1cesx * (antx + cesx)) = 1
cos2x(acenstx2 + a2n2t2x2 + (antx * -1cesx + cesx * -1cesx)) = 1
cos2x(acenstx2 + a2n2t2x2 + (-1acenstx2 + -1c2e2s2x2)) = 1

Reorder the terms:
cos2x(acenstx2 + -1acenstx2 + a2n2t2x2 + -1c2e2s2x2) = 1

Combine like terms: acenstx2 + -1acenstx2 = 0
cos2x(0 + a2n2t2x2 + -1c2e2s2x2) = 1
cos2x(a2n2t2x2 + -1c2e2s2x2) = 1
(a2n2t2x2 * cos2x + -1c2e2s2x2 * cos2x) = 1
(a2cn2os2t2x3 + -1c3e2os4x3) = 1

Solving
a2cn2os2t2x3 + -1c3e2os4x3 = 1

Solving for variable 'a'.

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

Add 'c3e2os4x3' to each side of the equation.
a2cn2os2t2x3 + -1c3e2os4x3 + c3e2os4x3 = 1 + c3e2os4x3

Combine like terms: -1c3e2os4x3 + c3e2os4x3 = 0
a2cn2os2t2x3 + 0 = 1 + c3e2os4x3
a2cn2os2t2x3 = 1 + c3e2os4x3

Divide each side by 'cn2os2t2x3'.
a2 = c-1n-2o-1s-2t-2x-3 + c2e2n-2s2t-2

Simplifying
a2 = c-1n-2o-1s-2t-2x-3 + c2e2n-2s2t-2

Reorder the terms:
a2 + -1c-1n-2o-1s-2t-2x-3 + -1c2e2n-2s2t-2 = c-1n-2o-1s-2t-2x-3 + -1c-1n-2o-1s-2t-2x-3 + c2e2n-2s2t-2 + -1c2e2n-2s2t-2

Combine like terms: c-1n-2o-1s-2t-2x-3 + -1c-1n-2o-1s-2t-2x-3 = 0
a2 + -1c-1n-2o-1s-2t-2x-3 + -1c2e2n-2s2t-2 = 0 + c2e2n-2s2t-2 + -1c2e2n-2s2t-2
a2 + -1c-1n-2o-1s-2t-2x-3 + -1c2e2n-2s2t-2 = c2e2n-2s2t-2 + -1c2e2n-2s2t-2

Combine like terms: c2e2n-2s2t-2 + -1c2e2n-2s2t-2 = 0
a2 + -1c-1n-2o-1s-2t-2x-3 + -1c2e2n-2s2t-2 = 0

The solution to this equation could not be determined.

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