Matematika

Pertanyaan

Hitunglah: sin (-150°) . Cos (-45°) . Cotan (-330°)/sin 840° . tan 1050° . sec 3630°

1 Jawaban

  • kerjain satu2
    -) sin - 150 = -sin 150 = - sin (180-30) = -sin 30 = -1/2
    -) cos -45 = cos 45 = 1/√2
    cotan (-330) = - cotan 330 = - cot (360-30) = - (-cot 30 = cot 30 = √3
    -) sin 840 = sin (2.360 + 120) = sin 120 = sin (180-60) = sin 60 = √3/2
    -) tan 1050 = tan (2.360 + 330) = tan 330 = tan (360-30) = -tan 30 = -1/√3
    -) sec 3630 = sec (10.360 + 30) = sec 30 = 2/√3
    coba digabungkan hasilnya
    -1/2 × (1/√2) × √3
    ----------------------------------
    (√3/2) × (-1/√3) × (2/√3)

    -(√3/2√2)
    ----------------
    -(1/√3)

    (√3 / 2√2)
    ---------------
    (1 / √3)

    √3 / 2√2 × √3 / 1
    3 / 2√2
    rasionalkan
    3 / 2√2 × (√2/√2)
    3√2 / 2(2)
    3√2/4
    = (3/4)√2

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