pr04tniter pr04tniter

10-06-2022
Mathematics

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Show and/or explain that sin C = sin(A+B) in any & ABC.

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loneguy loneguy

10-06-2022

[tex]\text{In any triangle ABC,}~\\\\A +B+C = \pi\\\\\text{Now,}\\\\\text{L.H.S}\\\\=\sin C\\\\=\sin\left[\pi - (A+B) \right]\\\\=\sin(A+B)\\\\=\text{R.H.S}\\\\\text{Showed.}[/tex]

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