Matematika

Pertanyaan

3 tan 5x+√3 =0,° ≤×≤ 360°
tentykan hpbdari persamaan trigonometri tsb

1 Jawaban

  • 3 tan 5x + √3 = 0
    3 tan 5x = -√3
    tan 5x = -√3/3
    tan 5x = tan 60
    5x = 60
    x = 60/5 = 12
    tan 5x = tan (180+60)
    5x = 240
    x = 240/5 = 48
    tan 5x = tan (360+60)
    5x = 420
    x = 84
    tan 5x = tan (360+240)
    5x = 600
    x = 120
    tan 5x = tan (2.360+60)
    5x = 780
    x = 156
    tan 5x = tan (2.360+240)
    5x = 960
    x = 192
    tan 5x = tan (3.360+60)
    5x = 1140
    x = 228
    tan 5x = tan (3.360+240)
    5x = 1320
    x = 264
    tan 5x = tan (4.360+60)
    5x = 1500
    x = 300
    tan 5x = tan (4.360+240)
    5x = 1680
    x = 336
    hp {12, 48, 84, 120, 156, 192, 228, 264, 300, 336}

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