Matematika

Pertanyaan

sin 120 + sec 150 . tan 225
---------------------------------------
sin 270 + cos 330

2 Jawaban

  • ½√3 + (-⅔√3) . 1
    = -------------------------
    -1 + ½√3

    ½√3 - ⅔√3 -1 - ½√3
    = ----------------- X -------------
    -1 + ½√3 -1 - ½√3

    -¹/6 √3 (-1 - ½√3)
    = ------------------------
    1 - ¾

    ¹/6 √3 + ¼
    = ----------------- = 4(¹/6 √3 + ¼) = ⅔√3+1
    ¼

    Maaf kalo salah


  • (sin 120 + sec 150 . tan 225)/(sin 270 + cos 330)
    = (1/2√3 + (-2/3√3) . 1)/(-1 + 1/2√3)
    = (1/2√3 - 2/3√3)/(-1 + 1/2√3)
    = √3(1/2 - 2/3)/(-1 + 1/2√3)
    = √3(-1/6)/(-1 + 1/2√3)
    = (-1/6√3)/(-1 + 1/2√3)

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