Matematika

Pertanyaan

Sin beta . Cos beta = (sin beta + cos beta) / (cosec beta + sec beta)

1 Jawaban

  • Sin beta.Cos beta = (Sin beta+Cos beta) / (Cosec beta + Sec beta)
    Sin beta.Cos beta.Cosec beta + Sin beta.Cos beta. Sec beta = Sin beta + Cos beta
    Sin beta.Cos beta.1/sin beta + Sin beta.Cos beta.1/cos beta = Sin beta + Cos beta
    Cos beta.1 + Sin beta.1 = Sin beta + Cos beta
    Cos beta + Sin beta = Sin beta + Cos beta

    Maka, terbukti bahwa Sin beta.Cos beta = (Sin beta + Cos beta) / (Cosec beta + Sec beta)

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