Trigonometric Identity: sin(2x) = 2sin(x)cos(x)

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In this video I show a very easy to understand proof of the common trigonometric identity, sin(2x) = 2 sin(x)cos(x).


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Trigonometric Identity Proofs

sin2x = 2sinxcosx proof 1080p.jpEG

sin(2x) = 2·sin(x)cos(x)

This is a special case of the Addition Identity:

image.png

Setting x = y in the above equation we get the following identity:

image.png

Trigonometric Identity: sin(2x) = 2sin(x)cos(x) | Ecency