f(x)=sin^2(4*pi*x)

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Solution for f(x)=sin^2(4*pi*x) equation:


Simplifying
f(x) = sin2(4pi * x)

Multiply f * x
fx = sin2(4pi * x)

Multiply ip * x
fx = in2s(4ipx)

Remove parenthesis around (4ipx)
fx = in2s * 4ipx

Reorder the terms for easier multiplication:
fx = 4in2s * ipx

Multiply in2s * ipx
fx = 4i2n2psx

Solving
fx = 4i2n2psx

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 4i2n2ps

Simplifying
f = 4i2n2ps

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