anonymous
  • anonymous
find the cartesian equation of r = 8 sin thet + 8 cos theta
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
its a circle centered at the irigin of radius 8 maybe?
anonymous
  • anonymous
\[r =\sqrt{x ^{2}+y ^{2}}\]
amistre64
  • amistre64
polars and parametrics aint my strong point ;)

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anonymous
  • anonymous
youre good at vectors :)
amistre64
  • amistre64
yep, I can point at things all day lol
anonymous
  • anonymous
haha, and good at planes
anonymous
  • anonymous
maybe youre good at visualizing things?
amistre64
  • amistre64
im pretty good at visualizing stuff
anonymous
  • anonymous
ok we can use x = r cos theta, and y = r sin theta,
anonymous
  • anonymous
so multiply both sides by r
amistre64
  • amistre64
spinning polars tho.....not so much; aint had the practice
anonymous
  • anonymous
\[\sin \theta =x/r\]
anonymous
  • anonymous
ive read the vector stuff, it just wont stick. for some reason
amistre64
  • amistre64
polars are just vector equations at heart :)
anonymous
  • anonymous
i dont see that
amistre64
  • amistre64
r = magnitude; are the components
amistre64
  • amistre64
r is the basi set up
anonymous
  • anonymous
those are the cartesian components you mean
amistre64
  • amistre64
in the plane, yes
amistre64
  • amistre64
but polars define length(r) whih is the magnitude of a vector; and the angles are the x and y components of a vector
amistre64
  • amistre64
a vector function simply defines a curve or surface generated by the parametric equations for the vector components from teh origin
amistre64
  • amistre64
and that is all a polar equation is
anonymous
  • anonymous
come again, parametric equation for the vector components (the cartesian components?)
amistre64
  • amistre64
(r,t) is a polar equation right? (radius,theta) this tells you how far to turn and how far to move
amistre64
  • amistre64
thats all a vector is; an arrow indicating direction and length
anonymous
  • anonymous
ok , lets use th for theta
anonymous
  • anonymous
ok , so say again your statement
amistre64
  • amistre64
which one lol
amistre64
  • amistre64
r is the vector equivalent of a polar equation (r,th)
amistre64
  • amistre64
or simpy
anonymous
  • anonymous
vector , as in the cartesian components of the vector
amistre64
  • amistre64
yes
amistre64
  • amistre64
the point P(x,y) is the same as defining a vector from the origin as
amistre64
  • amistre64
the vector is an arrow pointing to the point
anonymous
  • anonymous
right, that sometimes confuses me
anonymous
  • anonymous
we write < x,y> for a vector, and P(x,y) for a point
amistre64
  • amistre64
sometimes they write a vector as v(x,y) which confuses tha tmatter; i prefer the convention of just making it pointy to indicate its an arrow :)
anonymous
  • anonymous
right, i like to distinguish between points (n tuples) and vectors
myininaya
  • myininaya
cantorset i posted a proof for your viewing sorry it took me awhile to respond
anonymous
  • anonymous
i cant find it, one sec
myininaya
  • myininaya
k

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