tan^2(x)-sec(x)=-1+sin(-x)+sec^2(x)

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Solution for tan^2(x)-sec(x)=-1+sin(-x)+sec^2(x) equation:


Simplifying
tan2(x) + -1sec(x) = -1 + sin(-1x) + sec2(x)

Multiply an2t * x
an2tx + -1sec(x) = -1 + sin(-1x) + sec2(x)

Multiply ces * x
an2tx + -1cesx = -1 + sin(-1x) + sec2(x)

Remove parenthesis around (-1x)
an2tx + -1cesx = -1 + ins * -1x + sec2(x)

Reorder the terms for easier multiplication:
an2tx + -1cesx = -1 + -1ins * x + sec2(x)

Multiply ins * x
an2tx + -1cesx = -1 + -1insx + sec2(x)

Multiply c2es * x
an2tx + -1cesx = -1 + -1insx + c2esx

Reorder the terms:
an2tx + -1cesx = -1 + c2esx + -1insx

Solving
an2tx + -1cesx = -1 + c2esx + -1insx

Solving for variable 'a'.

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

Add 'cesx' to each side of the equation.
an2tx + -1cesx + cesx = -1 + c2esx + cesx + -1insx

Combine like terms: -1cesx + cesx = 0
an2tx + 0 = -1 + c2esx + cesx + -1insx
an2tx = -1 + c2esx + cesx + -1insx

Reorder the terms:
an2tx = -1 + cesx + c2esx + -1insx

Divide each side by 'n2tx'.
a = -1n-2t-1x-1 + cen-2st-1 + c2en-2st-1 + -1in-1st-1

Simplifying
a = -1n-2t-1x-1 + cen-2st-1 + c2en-2st-1 + -1in-1st-1

Reorder the terms:
a = cen-2st-1 + c2en-2st-1 + -1in-1st-1 + -1n-2t-1x-1

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