Ubahlah ke dalam koordinat kartesius 1.A(6,30derajat) 2.B(8,225derajat) 3.A(2,150derajat) Ubahlah ke dalam koordinat/kutub 1.P(6,-2√3) 2.Q(-5,5) Minta tolong di

1. A(6,30°)
x = r × cos θ
x = 6 × cos 30°
x = 6 × (√3/2)
x = 3√3

y = r × sin θ
y = 6 × sin 30°
y = 6 × 1/2
y = 3

Jadi titik A berada di (3√3, 3)

2. B(8,225°)
x = r × cos θ
x = 8 × cos 225°
x = 8 × (-√2/2)
x = -4√2

y = r × sin θ
y = 8 × sin 225°
y = 8 × (-√2/2)
y = -4√2

Jadi, titik B berada di (-4√2, -4√2)

3. A(2,150°)
x = r × cos θ
x = 2 × cos 150°
x = 2 × (-√3/2)
x = -√3

y = r × sin θ
y = 2 × sin 150°
y = 2 × (1/2)
y = 1

Jadi, titik A berada di (-√3, 1)

1. P(6,-2√3)
r = √6^2 + (2√3)^2
r = √36 + 12
r = √48
r = 4√3

tan θ = y/x
= -2√3/6
= -√3/3
= arctan (-√3/3)
= 330°

2. Q(-5,5)
r = √(-5)^2 + 5^2
r = akar 25 + 25
r = akar 50
r = 5 akar 2

tan θ = y/x
= 5/-5
= -1
θ = arctan (-1)
θ = 135°