Sin³A + cos³A/1-sin A . Cos A = sin A cos A
Matematika
yogiepurnama99
Pertanyaan
Sin³A + cos³A/1-sin A . Cos A = sin A cos A
1 Jawaban
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1. Jawaban DB45
identitas
(sin³ A + cos³A) / (1 - sin A cos A) = sin A cos A
bentuk a³+b³ = (a+b)(a² - ab + b³)
(sin³ A + cos³ A) = (sin A + cos A)(sin² A - sin A cos A + cos² A)
(sin³ A + cos³ A) = (sin A + cos A)/(sin² A + cos² A - sin A cos A)
(sin³ A + cos³ A) = (sin A + cos A) / (1 - sin A cos A)
Ruas kiri
={(sin A + cos A)(sin² - sin A cos A + cos² A) } /{1 - sin A cos A)
= (sin A +cos A) (1 - sin A cos A) /(1- sin A cos A)
= sin A + cos A
ruas kanan = sin A . cos A
ruas kiri ≠ ruas kanan
tidak terbukti