Sec^2x+4tan^2x=1

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Solution for Sec^2x+4tan^2x=1 equation: 


Simplifying
Sec2x + 4tan2x = 1

Reorder the terms:
4an2tx + c2exS = 1

Solving
4an2tx + c2exS = 1

Solving for variable 'a'.

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

Add '-1c2exS' to each side of the equation.
4an2tx + c2exS + -1c2exS = 1 + -1c2exS

Combine like terms: c2exS + -1c2exS = 0
4an2tx + 0 = 1 + -1c2exS
4an2tx = 1 + -1c2exS

Divide each side by '4n2tx'.
a = 0.25n-2t-1x-1 + -0.25c2en-2t-1S

Simplifying
a = 0.25n-2t-1x-1 + -0.25c2en-2t-1S

Reorder the terms:
a = -0.25c2en-2t-1S + 0.25n-2t-1x-1

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