Cos^2(2t)-ain^2(2t)=cos^2(2t)-1

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Solution for Cos^2(2t)-ain^2(2t)=cos^2(2t)-1 equation: 


Simplifying
Cos2(2t) + -1ain2(2t) = cos2(2t) + -1

Remove parenthesis around (2t)
os2C * 2t + -1ain2(2t) = cos2(2t) + -1

Reorder the terms for easier multiplication:
2os2C * t + -1ain2(2t) = cos2(2t) + -1

Multiply os2C * t
2os2tC + -1ain2(2t) = cos2(2t) + -1

Remove parenthesis around (2t)
2os2tC + -1ain2 * 2t = cos2(2t) + -1

Reorder the terms for easier multiplication:
2os2tC + -1 * 2ain2 * t = cos2(2t) + -1

Multiply -1 * 2
2os2tC + -2ain2 * t = cos2(2t) + -1

Multiply ain2 * t
2os2tC + -2ain2t = cos2(2t) + -1

Reorder the terms:
-2ain2t + 2os2tC = cos2(2t) + -1

Remove parenthesis around (2t)
-2ain2t + 2os2tC = cos2 * 2t + -1

Reorder the terms for easier multiplication:
-2ain2t + 2os2tC = 2cos2 * t + -1

Multiply cos2 * t
-2ain2t + 2os2tC = 2cos2t + -1

Reorder the terms:
-2ain2t + 2os2tC = -1 + 2cos2t

Solving
-2ain2t + 2os2tC = -1 + 2cos2t

Solving for variable 'a'.

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

Add '-2os2tC' to each side of the equation.
-2ain2t + 2os2tC + -2os2tC = -1 + 2cos2t + -2os2tC

Combine like terms: 2os2tC + -2os2tC = 0
-2ain2t + 0 = -1 + 2cos2t + -2os2tC
-2ain2t = -1 + 2cos2t + -2os2tC

Divide each side by '-2in2t'.
a = 0.5i-1n-2t-1 + -1ci-1n-2os2 + i-1n-2os2C

Simplifying
a = 0.5i-1n-2t-1 + -1ci-1n-2os2 + i-1n-2os2C

Reorder the terms:
a = -1ci-1n-2os2 + i-1n-2os2C + 0.5i-1n-2t-1

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