26 Oct
Trigonometric Proof of Pythagorean Theorem
How can be one so wrong? The common objection to the existence of trigonometric proofs of the Pythagorean theorem stems from the assertion that the most important trigonometric identity
sin²α + cos²α = 1,
being equivalent to the Pythagorean theorem, can;t be employed to proof the latter. However, as Jason Zimba has recently observed, that identity admits a proof independent of the Pythagorean theorem, but rather based on the subtraction formulas for sine and cosine, implying the existence of a trigonometric proof of the famous theorem. Truly wonderful!
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