Penjelasan dengan langkah-langkah:

1. x = r . cos a

x = 8 . Cos 30°

x = 8 . ½√3

x = 4√3

y = r . Sin a

y = 8 . Sin 30°

y = 8 . ½

y = 4

(4√3 , 4)

2. x = r . Cos a

x = 2 . 120°

x = 2 . -½

x = -1

y = r . sin a

y = 2 . 120°

y = 2 . ½√3

y = 1√3

(-1 , 1√3)

3. x = r . cos a

x = 20 . 300°

x = 20 . ½

x = 10

y = r . sin a

y = 20 . 300°

y = 20 . -½√3

y = -10√3

(10 , -10√3)

4. x = r . cos a

x = 4 . 4π/3

x = 4 . 240°

x = 4 . -½

x = -2

y = r . sin a

y = 4 . 4π/3

y = 4 . 240°

y = 4 . -½√3

y = -2√3

(-2 , -2√3)

5. x = r . cos a

x = 3 . π/4

x = 3 . 45°

x = 3 . ½√2

x = 1½√2

y = r . sin a

y = 3 . π/4

y = 3 . 45°

y = 3 . ½√2

y = 1½√2

(1½√3 , 1½√3)

6. (3√3,3)

x positif , y positif = Kuadran 1

r = √(x²+y²)

r = √((3√3)²+(3)²)

r = √(27+9)

r = √36

r = 6

Tan a = y/x

Tan a = 3/3√3

Tan a = ⅓√3

a = 210°

(6 , 210°)

7. (-2,2√3)

x negatif , y positif = Kuadran 2

r = √(x²+y²)

r = √(-2)²+(2√3)²

r = √4 + 12

r = √16

r = 4

Tan a = y/x

Tan a = 2√3/-2

Tan a = -⅓√3

a = 330°

(4 , 330°)

8. (-5,-5)

x negatif , y negatif = Kuadran 2

r = √(x²+y²)

r = √(-5²+-5²)

r = √(25+25)

r = √50

r = 5√2

Tan a = y/x

Tan a = -5/-5

Tan a = 1

a = 225°

(5√2 , 225°)

9. (1, -√3)

x positif , y negatif = Kuadran 2

r = √(x²+y²)

r = √((1)²+(-√3)²)

r = √1+3

r = √4

r = 2

Tan a = y/x

Tan a = -√3/1

Tan a = -√3

a = 300°

(2 , 300°)

10. (-4√3,4)

x negatif , y positif = Kuadran 2

r = √(x²+y²)

r = √((-4√3)²+(4)²)

r = √48 + 16

r = √64

r = 8

Tan a = y/x

Tan a = 4/4√3

Tan a = -√3

a = 300°

(8 , 300°)

Semoga Membantu^^