Trigonometric ratios (sine, cosine, etc.) are invariant: they produce the same numerical value regardless of the size of the triangle, because changing the ratio requires changing only the numerator or only the denominator of the ratio, which is impossible without also changing the other, unless the angle itself changes.

causalpending

Speaker

Unidentified Speaker — Truly Understand Trigonometry [ZU-cIz8dvqU]

Evidence Quote

And now comes the remarkable part. As with the circle, these ratios also correspond to a number that does not change no matter how large or small we make the triangle...we would have to change the angle alpha.

Source

Truly Understand Trigonometrysnsus
Created: 8/12/2026, 6:18:22 PM

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