1-sec^2x=-tan^2x

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Solution for 1-sec^2x=-tan^2x equation:


Simplifying
1 + -1sec2x = -1tan2x

Solving
1 + -1c2esx = -1an2tx

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + -1 + -1c2esx = -1 + -1an2tx

Combine like terms: 1 + -1 = 0
0 + -1c2esx = -1 + -1an2tx
-1c2esx = -1 + -1an2tx

Divide each side by '-1esx'.
c2 = e-1s-1x-1 + ae-1n2s-1t

Simplifying
c2 = e-1s-1x-1 + ae-1n2s-1t

Reorder the terms:
c2 = ae-1n2s-1t + e-1s-1x-1

Reorder the terms:
-1ae-1n2s-1t + c2 + -1e-1s-1x-1 = ae-1n2s-1t + e-1s-1x-1 + -1ae-1n2s-1t + -1e-1s-1x-1

Reorder the terms:
-1ae-1n2s-1t + c2 + -1e-1s-1x-1 = ae-1n2s-1t + -1ae-1n2s-1t + e-1s-1x-1 + -1e-1s-1x-1

Combine like terms: ae-1n2s-1t + -1ae-1n2s-1t = 0
-1ae-1n2s-1t + c2 + -1e-1s-1x-1 = 0 + e-1s-1x-1 + -1e-1s-1x-1
-1ae-1n2s-1t + c2 + -1e-1s-1x-1 = e-1s-1x-1 + -1e-1s-1x-1

Combine like terms: e-1s-1x-1 + -1e-1s-1x-1 = 0
-1ae-1n2s-1t + c2 + -1e-1s-1x-1 = 0

The solution to this equation could not be determined.

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