Question

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)

Answer 1

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°)

Answer 2

AR U SURE ?

Answer 3

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.