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^theta after the last sin

You need to use these equations:
\[r^2=x^2+y^2 ; rcos(\theta)=x ; rsin(\theta)=y \]

i did, but like it ended up like x^2+y^2= 25+9x^2r^2-30xr/64y^2 for the last one

We want the equations just in terms of x and y instead of r and theta.

i don't know what i did wrong

so the last one is:
\[r=\frac{5}{3}\cos(\theta)+8\sin(\theta) \]?

no uh (5)/(3costheta+8sintheta)

oh so you meant 5/(3costheta)+8sin(theta)) and not 5/3cos(theta)+8sin(theta)

mhm
5 / (3cos+8sin)

\[r= \frac{5}{3\cos(\theta)+8\sin(\theta)}\]
Multiply both sides by that one fraction's denominator

\[r(3\cos(\theta)+8\sin(\theta))=5 \]
Distribute then substitute the equations I gave you

whoops how about the secant one

put it in terms of cos by using an identity

then put it in some form where you can use the equations I gave you

sosoososososo it would be x^3+y^2x=-3 AND uh the other one x^2+y^2=x+y?

for the first one? no...

I haven't looked at the second one...
You are making this way too hard it looks like.

first one
you did this as first step right?:
\[r=\frac{-3}{\cos(\theta)}\]

yep

multiply both sides with r

no

try again

How do you undo multiplication?

Or division?

oh omg

we have division by cos
to undo that you ?

x=-3

yes

thanks

so for that second one...

you actually got it right

but how did you go about it
you didn't choose a complicated way right?

yep uh
multiplied both side with r and then substituted the stuff in

oh good

do you have any other questions? do you think you got this better?

uh yea i have a few more

for standard forms of polar equation uh how would graph r=2cos3theta

Plug in values of theta and see what the r output is

like how would you do this with a graphing calculator

find 0 degrees and then go to the circle with radius 2

cause wksht says not to use a table

|dw:1388269927627:dw|
then plug in more points

oh i know how to graph but not without plugging in points

I haven't looked at a calculator in ages

did you try looking up how to input polar equations into whatever calculator type you have

some calculators require a difference procedure in order to do certain things

http://mathbits.com/MathBits/TISection/PreCalculus/polargraphs.htm

find mode
and choose polar or pol or polargc

then just type your equation in

u what's the website

*uh

What ?