Matematika Tentukan Nilai koordinat kartesius dari:a. (10, 660°) b. (2√2, 585°)​

shyannelangulv – March 06, 2023

Tentukan Nilai koordinat kartesius dari:
a. (10, 660°)
b. (2√2, 585°)​

Jawab:

Penjelasan dengan langkah-langkah:

a. (10, 660°)

r = 10

@ = 660° = (360 + 300)°

@ = 300°

x = r cos @ = 10 cos 300°

x = 10 (cos 60°)

x = 10 (½)

x = 5

y = r sin @ = 10 sin 300°

y = 10 (sin 60°)

y = 10 (½√3)

y = 5√3

(10, 660°) = (5, 5√3)

b. (2√2, 585°)

r = 2√2

@ = 585° = (360 + 225)°

@ = 225°

x = r cos @ = 2√2 cos 225°

x = 2√2 (-cos 45°)

x = 2√2 (-½√2)

x = -2

y = r sin @ = 2√2 sin 225°

y = 2√2 (-sin 45°)

y = 2√2 (-½√2 )

y = -2

(2√2, 585°) = (-2, -2)

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