Matematika

Pertanyaan

cos A -24/25 dimana A dikuadran 3 . hitung nilai cos 2A ?

1 Jawaban

  • Trigonometri

    cos A = -24/25 , negatif krn kuadran 3

    x = 24
    r = 25
    y = √25² - 24² = 7

    sin A = y/r
    = 7/25
    = -7/25 , negatif krn kuadran 3

    cos 2A
    = cos² A - sin² A
    = (cos A + sin A)(cos A - sin A)
    = (-24/25 + (-7/25))((-24/25) - (-7/25))
    = (-31/25)(-17/25)
    = 527/625

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