ubahkan dari polar ke cartesius a. A(√3,1) b.B(-3,3√3)

a) koordinat cartesius
A(√3,1)
x = √3
y = 1
Koordinat polar (r,alpha)
r = √x²+y²
= √(√3)²+1²
= √3+1
= √4
r = 2
tan alpha = y/x = 1/√3 = 1/√3 x √3/√3 = √3/3 = 1/3√3
arc tan alpha (1/3√3) = 30°
Koordinat polar = (2,30°)

b) koordinat cartesius
B(-3,3√3)
x = -3
y = 3√3
Koordinat polar (r,alpha)
r = √x²+y² = √(-3)²+(3√3)² = √9+27 = √36 = 6
tan alpha = y/x = 3√3/-3 = -√3
arc tan alpha (-√3) = 300°
Koordinat polar (6,300°)

*maaf kalau salah