Matematika

Pertanyaan

Bantuin dong No 15, 16, 17
Makasih...
Bantuin dong No 15, 16, 17 Makasih...

1 Jawaban

  • Materi : Trigonometri
    Bahasan : Koordinat Kutub dan Kartesius

    Langkah - langkah dan Jawaban :
    15. (-12, 12)
    r = √(-12)² + (12)²
    r = √288 ⇒ 12√2
    cos α = x / r
    cos α = (- 12) / 12√2 (Rasionalkan)
    cos α = (-1/2)√2
    cos α = 135°
    ⇒ (12√2, 135°)

    16. (14, 30°)
    x = r cos α
    x = 14 cos 30°
    x = 14 (1/2)√3
    x = 7√3
    y = r sin α
    y = 14 sin 30°
    y = 14 (1/2)
    y = 7
    ⇒ (7√3, 7)

    17. (6, 6√3)
    r = √(6²) + (6√3)²
    r = √144 ⇒ 12
    cos α = x / r
    cos α = 6 / 12
    cos α = 1/2
    cos α = 60°
    ⇒ (12, 60°)