Tan^2x+sin^2x+cos^2x=sec^2x

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Solution for Tan^2x+sin^2x+cos^2x=sec^2x equation: 


Simplifying
Tan2x + sin2x + cos2x = sec2x

Reorder the terms:
an2xT + cos2x + in2sx = sec2x

Solving
an2xT + cos2x + in2sx = c2esx

Solving for variable 'a'.

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

Add '-1cos2x' to each side of the equation.
an2xT + cos2x + -1cos2x + in2sx = -1cos2x + c2esx

Combine like terms: cos2x + -1cos2x = 0
an2xT + 0 + in2sx = -1cos2x + c2esx
an2xT + in2sx = -1cos2x + c2esx

Add '-1in2sx' to each side of the equation.
an2xT + in2sx + -1in2sx = -1cos2x + c2esx + -1in2sx

Combine like terms: in2sx + -1in2sx = 0
an2xT + 0 = -1cos2x + c2esx + -1in2sx
an2xT = -1cos2x + c2esx + -1in2sx

Divide each side by 'n2xT'.
a = -1cn-2os2T-1 + c2en-2sT-1 + -1isT-1

Simplifying
a = -1cn-2os2T-1 + c2en-2sT-1 + -1isT-1

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