Matematika

Pertanyaan

tolong bantu jawab trigonometri
tolong bantu jawab trigonometri

1 Jawaban

  • a) P ( 1, 1 )
    r = akar (1^2 + 1^2)
    r = akar 2
    sin P = 1/akar 2 = (1/2)akar 2
    cos P = 1/akar 2 = (1/2)akar 2
    tan P = 1/1 = 1
    b) P ( -2akar3, -2)
    r^2 = (-2akar3)^2 +(-2)^2
    r^2 = 12 + 4
    r^2 = 16
    r = 4
    cos P = -2akar3/4 = (-1/2)akar 3
    sin P = -2/4 = -1/2
    tan P = -2/-2akar 3 = 1/akar 3 = (1/3)akar
    c) P ( -3, 3)
    r^2 = (-3)^2 + (3)^2
    r^2 = 9 + 9 = 18
    r = 3akar 2
    sin P = 3/3akar 2
    = 1/akar 2 = (1/2)akar 2
    cos P = -3/3akar 2
    = -1/akar 2
    = (-1/2)akar 2
    tan P = 3/-3 = -1
    d) P (-3, -1)
    r^2 = (-3)^2 + (-1)^2
    r^2= 10
    r = akar 10
    sin P = -1/akar 10 = (-1/10)akar 10
    cos P = -3/akar 10 = (3/10)akar 10
    tan P = -1/-3 = 1/3
    e) P (-1, akar 3)
    r^2 = (-1)^2 + (akar 3)^2
    r^2 = 4
    r = 2
    sin P = akar 3 / 2
    cos P = -1/2
    tan P = akar 3/-1 = - akar 3