Why sin c is written as 2sinc/2cosc/2

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26-05-2017
Mathematics

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Why sin c is written as 2sinc/2cosc/2

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WojtekR WojtekR · Answer 1 · 2017-05-26T04:35:51+02:00

WojtekR WojtekR

26-05-2017

From double-angle formula we know that:

[tex]\sin(2\theta)=2\sin\theta\cos\theta[/tex]

so (for θ = c/2):

[tex]\sin c=\sin(2\cdot\frac{c}{2})=2\sin(\frac{c}{2})\cos(\frac{c}{2})[/tex]

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