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convert each point,P(x,y)to the ordered pair P(r cos theta ,r sin theta).round all valuas of r to one dicimal place and all values of theta to the nearste degree.

(a) (4,6)
(b) (-3.7)
(c) (10,-23)

  • math -

    I will do a), you do the rest

    for (4,6), r^2= 4^2+ 6^2 = 52
    r= √52

    tanØ= 6/4
    Ø = appr 56.3°

    so (4,6) ---> (√52cos56.3 , √52sin56.3)
    = appr (7.2cos56° , 7.2sin56°)

  • math -

    AR U SURE ?

  • math -

    Did you want the ordered pair (4,6) expressed in polar form?
    I was wondering why you asked for the form
    (rcosØ, rsinØ) since that is simply the equivalent of (x,y)
    e.g. my answer of (7.2cos56 , 7.2sin56) = (4.026 , 5.969) or (4,6)

    if you want it in the polar form (r, Ø)
    then (4,6) ---> (7.2 , 56°)

    however, that is not what you had asked for.

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