Question

Kuis ⁽⁹⁸⁾ : Ubah (4, ¹/₁₂ π) ke koordinat kartesius.

Answer 1

Konversi

Ko Polar → Ko Kartesius

(k,a) → (x,y)

titik (4 , 1/12 π)

x = k cos a

x = 4 cos (π/12)

x = 4 cos 15°

x = 4 × 1/4 (√2 + √6)

x = √6 + √2

y = k sin a

y = 4 sin (π/12)

y = 4 sin 15°

y = 4 × 1/4 (√6 - √2)

y = √6 - √2

Koordinat kartesius dari (4 , 1/12 π) :

(√6 + √2 , √6 - √2)