bentuk sederhana (sin α / 1+cos α) + (1+cos α /sin α)
Matematika
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Pertanyaan
bentuk sederhana (sin α / 1+cos α) + (1+cos α /sin α)
1 Jawaban
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1. Jawaban Anonyme
Bab Trigonometri
Matematika SMA Kelas X
((sin α / (1+ cos α)) + ((1 + cos α) / sin α)
= (sin α . sin α + (1 + cos α) . (1 + cos α))/(sin α . (1 + cos α))
= (sin² α + 1 + 2 cos α + cos² α) / (sin α . (1 + cos α))
= (sin² α + cos² α + 1 + 2 cos α) / (sin α . (1 + cos α))
= (1 + 1 + 2 cos α) / (sin α . (1 + cos α))
= (2 + 2 cos α) / (sin α . (1 + cos α))
= 2 (1 + cos α) / (sin α . (1 + cos α))
= 2 / sin α
= 2 cosec α