Matematika

Pertanyaan

Hitunglah nilai dari(tan135xtan315)sec60

2 Jawaban

  • nilai fungsi trigonometri

    tan135 = tan(180-45) = tan 45 = 1
    tan 315 = tan (360-45) = tan 45 = - 1
    sec 60 = 1/cos 60 =  1/ (1/2 √3) = 2/3 √3

    (tan 135 x tan 315 ) sec 60 = (1)(-1)(2/3)√3 = - 2/3  √3
  • (tan 135° × tan 315°) sec 60°
    ((tan 180° - 45°) × (tan 360° - 45°)) sec 60°
    (- tan 45° × -tan 45°) sec 60°
    ( -1 × (-1)) 2
    1 × 2
    Jwb = 2

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