Matematika

Pertanyaan

Jika cos x = 3/5, maka tan 2x adalah

1 Jawaban

  • cosx = 3/5 maka sinx = 4/5
    tan2x = sin2x/cos2x = 2sinxcosx/(1-2sin"x) = 2(4/5)(3/5)/(1-(4/5)") = (24/25)/(1-16/25)
    = (24/25)/(9/25) = 24/25 . 25/9 = 24/9 = 8/3

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