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°)
Verified answer
Materi : TrigonometriBahasan : 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°)