Tan^2x-cot^2x+sec^2x=2

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Solution for Tan^2x-cot^2x+sec^2x=2 equation: 


Simplifying
Tan2x + -1cot2x + sec2x = 2

Solving
an2xT + -1cot2x + c2esx = 2

Solving for variable 'a'.

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

Add 'cot2x' to each side of the equation.
an2xT + -1cot2x + cot2x + c2esx = 2 + cot2x

Combine like terms: -1cot2x + cot2x = 0
an2xT + 0 + c2esx = 2 + cot2x
an2xT + c2esx = 2 + cot2x

Add '-1c2esx' to each side of the equation.
an2xT + c2esx + -1c2esx = 2 + cot2x + -1c2esx

Combine like terms: c2esx + -1c2esx = 0
an2xT + 0 = 2 + cot2x + -1c2esx
an2xT = 2 + cot2x + -1c2esx

Divide each side by 'n2xT'.
a = 2n-2x-1T-1 + cn-2ot2T-1 + -1c2en-2sT-1

Simplifying
a = 2n-2x-1T-1 + cn-2ot2T-1 + -1c2en-2sT-1

Reorder the terms:
a = cn-2ot2T-1 + -1c2en-2sT-1 + 2n-2x-1T-1

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