Sine Wave to Sine Squared Wave Conversion & The Converse

For confirmation of the the claim, please plot the two sets of graphs on any graph plotter which can also show you co-ordinates on the graph, to confirm co-alignment. Visual inspection of the curves is not sufficient to solving the equivalence of the equation. Testing for cardinal points - particularly axis intercepts is a quick assessment tool.

x = θ

A = sin ( θ ) ,

A = a * sin ^ 2 ( θ / 2 + 5 * Pi / 4) - a ;

A = sin ^ 2 ( θ ) ,

A = ( a / 2 ) * sin ( 2 * ( θ + 3 * Pi / 4 ) ) + a/2 ;

The technique above, which includes the use use of pase shift in Sin ^ 2 ( x ) or Sin ^ 2 ( θ ), enables analysis of any two waves to differentiate them quantitively or to quantitively find parity between them.

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