sec^2y+tan^2y=(1-sin^4y)sec^4y

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Solution for sec^2y+tan^2y=(1-sin^4y)sec^4y equation: 


Simplifying
sec2y + tan2y = (1 + -1sin4y) * sec4y

Reorder the terms:
an2ty + c2esy = (1 + -1sin4y) * sec4y

Reorder the terms for easier multiplication:
an2ty + c2esy = c4esy(1 + -1in4sy)
an2ty + c2esy = (1 * c4esy + -1in4sy * c4esy)

Reorder the terms:
an2ty + c2esy = (-1c4ein4s2y2 + 1c4esy)
an2ty + c2esy = (-1c4ein4s2y2 + 1c4esy)

Solving
an2ty + c2esy = -1c4ein4s2y2 + 1c4esy

Solving for variable 'a'.

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

Add '-1c2esy' to each side of the equation.
an2ty + c2esy + -1c2esy = -1c4ein4s2y2 + -1c2esy + 1c4esy

Combine like terms: c2esy + -1c2esy = 0
an2ty + 0 = -1c4ein4s2y2 + -1c2esy + 1c4esy
an2ty = -1c4ein4s2y2 + -1c2esy + 1c4esy

Reorder the terms:
an2ty = -1c2esy + -1c4ein4s2y2 + 1c4esy

Divide each side by 'n2ty'.
a = -1c2en-2st-1 + -1c4ein2s2t-1y + c4en-2st-1

Simplifying
a = -1c2en-2st-1 + -1c4ein2s2t-1y + c4en-2st-1

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