Matematika

Pertanyaan

Ubahlah koordinat kutub berikut ke koordinat cartesius!
a. A(6,30derajat)
b. B(2,120derajat)

1 Jawaban

  • a. A ( 6,30° )
    x = r cos a
    = 6 cos 30°
    = 6 ( cos 60° )
    = 6 ( 1/2 ) = 3

    y = r sin a
    = 6 sin 30°
    = 6 ( sin 60° )
    = 6 ( 1/2 √3 ) = 3√3

    Jadi, A ( 3,√3 )

    b. B ( 2,120° )
    x = r cos a
    = 2 cos 120°
    = 2 ( - cos 30° )
    = 2 ( - 1/2 √3 ) = √3

    y = r sin a
    = 2 sin 120°
    = 2 ( sin 30° )
    = 2 ( -1/2 ) = -1

    Jadi, B ( √3,-1 )


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