tentukan koordinat kartesius dari titik dbawah ini a.(5,120º) b.(10,240º) c.(8,225º)

Koordinat Kutub dan Kartesius

a.
(5 , 120°)
x = r . cos theta
= 5 . cos 120
= 5 . -1/2
= -5/2

y = r . sin theta
= 5 . sin 120
= 5 . (√3 / 2)
= (5√3 / 2)

-->
[tex] \left ( - \dfrac{5}{2} , \dfrac{5\sqrt{3}}{2} \right ) [/tex]

b.
(10, 240°)
x = r cos theta
= 10 . cos 240
= 10 . -1/2
= -5

y = r sin theta
= 10 . sin 240
= 10 . -(√3)/2
= -5√3

-->
(-5 , -5√3)

c.

(8,225°)

x = r . cos theta
= 8 . cos 225
= 8 . (-√2/2)
= -4√2

y = r . sin theta
= 8 . (-√2/2)
= -4√2

--> (-4√2 , -4√2)