Identitas trigonometri sin A per 1+ cos A = 1- cos A per sin A

By Admin ReiPosted on December 5, 2022

Identitas trigonometri sin A per 1+ cos A = 1- cos A per sin A

$frac{ sin(a) }{1 + cos(a) } = frac{1 - cos(a) }{sin(a)}$

$= frac{ sin(a) }{1 + cos(a) } times frac{1 - cos(a) }{1 - cos(a) }$

$= frac{ sin(a) times (1 - cos(a)) }{1 - {cos}^{2}(a)}$

$= frac{ sin(a) - sin(a) cos(a) }{sin^{2}(a) }$

$= frac{1 - cos(a) }{ sin(a) }$

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