Buktikan sin 2 alfa/sin alfa = 1+ cos 2alfa/cos alfa
Matematika
farida141100p0pzsk
Pertanyaan
Buktikan sin 2 alfa/sin alfa = 1+ cos 2alfa/cos alfa
1 Jawaban
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1. Jawaban RexyGamaliel
Ruas kiri
sin 2@ / sin @
= (2 . sin @ . cos @) /sin @
= 2 . cos @
Ruas kanan
(1 + cos 2@) / cos @
= (1 + 2cos²@ - 1) / cos @
= (2cos²@) / cos @
= 2 . cos @
*Terbukti*