buktikanlah cos b (1+tan b) ^2=sec b+2sin b
Matematika
rizal788
Pertanyaan
buktikanlah cos b (1+tan b) ^2=sec b+2sin b
1 Jawaban
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1. Jawaban whongaliem
cos β (1 + tan β)² = sec β + 2.sin β
cos β (1 + 2.tan β + tan² β) = sec β + 2.sin β
cos β (1/cos² β + 2.tan β) = sec β + 2.sin β
cos β {(1/cos² β) + (2.sin β /cos β)} = sec β + 2.sin β
(1/ cos β) + 2.sin β = sec β + 2.sin β
sec β + 2.sin β = sec β + 2.sin β
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