Matematika

Pertanyaan

sec 330° × tan 120° × sin 315° =

2 Jawaban

  • sec 330° = sec (360-30)° = sec 30° = 2/3 akar 3
    tan 120° = tan (180-60)° = - tan 60° = -1/2 akar 3
    sin 315° = (360-45)° = - sin 45° = -1/2 akar 2

    jadi sec 330° × tan 120° × sin 315° = 2/3 akar 3 × -1/2 akar 3 × -1/2 akar 2 = 1/2 akar 2

  • Sec 330° × tan 120°
    × sin 315°
    = 2/3√3 x (-√3) x( -1/2√2)
    = -6/3 x -1/2√2
    =-2 x -1/2 √2
    = √2

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