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Himpunan Penyelesaian Dari √3 Tan 2x-1 = 0

By Ahlif ID 1 comment


 JAWABAN: A

PEMBAHASAN:

√3 tan 2x-1 = 0

√3 tan 2x = 1

tan 2x = √3/3

tan 2x = tan π/6

2x = π/6 + k. π

x = π/12 + k. π/2

x = π/12

x = 7 π/12

x = 13 π/12

x = 19 π/12

1 comment for "Himpunan Penyelesaian Dari √3 Tan 2x-1 = 0"

  1. AthoSunday, April 17, 2022 9:12:00 AM

    √3 Tan 2x = -1
    Tan 2x = -⅓
    Tan 2x = Tan (-30°)

    2x = -30° +k ×180°
    ____________________:2
    X= -15° + k×90°

    K = 1→ x = -15° + 1 × 90°= 75°
    K = 2→x = -15° + 2 × 90°= 165°
    K = 3→x = -15° + 3 × 90°= 255°
    K = 4→x = -15° + 4 × 90°= 345°

    Hp = {75°,165°,255°,345°}

    ReplyDelete