(SEC+1)(SEC-1)=TAN^2

Solution for (SEC+1)(SEC-1)=TAN^2 equation:

Simplifying
(SEC + 1)(SEC + -1) = TAN2

Reorder the terms:
(1 + CES)(SEC + -1) = TAN2

Reorder the terms:
(1 + CES)(-1 + CES) = TAN2

Multiply (1 + CES) * (-1 + CES)
(1(-1 + CES) + CES(-1 + CES)) = TAN2
((-1 * 1 + CES * 1) + CES(-1 + CES)) = TAN2
((-1 + 1CES) + CES(-1 + CES)) = TAN2
(-1 + 1CES + (-1 * CES + CES * CES)) = TAN2
(-1 + 1CES + (-1CES + C2E2S2)) = TAN2

Combine like terms: 1CES + -1CES = 0
(-1 + 0 + C2E2S2) = TAN2
(-1 + C2E2S2) = TAN2

Solving
-1 + C2E2S2 = AN2T

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 + C2E2S2 = 1 + AN2T

Combine like terms: -1 + 1 = 0
0 + C2E2S2 = 1 + AN2T
C2E2S2 = 1 + AN2T

Divide each side by 'E2S2'.
C2 = E-2S-2 + AE-2N2S-2T

Simplifying
C2 = E-2S-2 + AE-2N2S-2T

Reorder the terms:
C2 = AE-2N2S-2T + E-2S-2

Reorder the terms:
-1AE-2N2S-2T + C2 + -1E-2S-2 = AE-2N2S-2T + E-2S-2 + -1AE-2N2S-2T + -1E-2S-2

Reorder the terms:
-1AE-2N2S-2T + C2 + -1E-2S-2 = AE-2N2S-2T + -1AE-2N2S-2T + E-2S-2 + -1E-2S-2

Combine like terms: AE-2N2S-2T + -1AE-2N2S-2T = 0
-1AE-2N2S-2T + C2 + -1E-2S-2 = 0 + E-2S-2 + -1E-2S-2
-1AE-2N2S-2T + C2 + -1E-2S-2 = E-2S-2 + -1E-2S-2

Combine like terms: E-2S-2 + -1E-2S-2 = 0
-1AE-2N2S-2T + C2 + -1E-2S-2 = 0

The solution to this equation could not be determined.