Sec^2(x)=3tan(x)-1

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Solution for Sec^2(x)=3tan(x)-1 equation: 


Simplifying
Sec2(x) = 3tan(x) + -1

Multiply c2eS * x
c2exS = 3tan(x) + -1

Multiply ant * x
c2exS = 3antx + -1

Reorder the terms:
c2exS = -1 + 3antx

Solving
c2exS = -1 + 3antx

Solving for variable 'c'.

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

Divide each side by 'exS'.
c2 = -1e-1x-1S-1 + 3ae-1ntS-1

Simplifying
c2 = -1e-1x-1S-1 + 3ae-1ntS-1

Reorder the terms:
c2 = 3ae-1ntS-1 + -1e-1x-1S-1

Reorder the terms:
-3ae-1ntS-1 + c2 + e-1x-1S-1 = 3ae-1ntS-1 + -1e-1x-1S-1 + -3ae-1ntS-1 + e-1x-1S-1

Reorder the terms:
-3ae-1ntS-1 + c2 + e-1x-1S-1 = 3ae-1ntS-1 + -3ae-1ntS-1 + -1e-1x-1S-1 + e-1x-1S-1

Combine like terms: 3ae-1ntS-1 + -3ae-1ntS-1 = 0
-3ae-1ntS-1 + c2 + e-1x-1S-1 = 0 + -1e-1x-1S-1 + e-1x-1S-1
-3ae-1ntS-1 + c2 + e-1x-1S-1 = -1e-1x-1S-1 + e-1x-1S-1

Combine like terms: -1e-1x-1S-1 + e-1x-1S-1 = 0
-3ae-1ntS-1 + c2 + e-1x-1S-1 = 0

The solution to this equation could not be determined.

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