buktikan menggunakan identitas trigonometri
Matematika
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Pertanyaan
buktikan menggunakan identitas trigonometri
1 Jawaban
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1. Jawaban Anonyme
Operasikan ruas kiri!
cot α + sin α / (1 + cos α)
= cos α / sin α + sin α / (1 + cos α)
= [(cos α)(1 + cos α) + sin² α] / [sin α (1 + cos α)]
= [(cos α)(1 + cos α) + (1 - cos² α)] / [sin α (1 + cos α)]
= (cos α + cos² α + 1 - cos² α) / [sin α (1 + cos α)]
= 1 / sin α
= csc α
Terbukti.