write the equation -2x+6y=7 in polar form

Question

anonymous · Answer

attachment

directrix · Answer

These relationships may be helpful:

x = rcosθ 
y = rsinθ 
x² + y² = r²

directrix · Answer

Check out the options. @wolf1728 

More formula needed!

directrix · Answer

-2x+6y=7

-2* r cos θ  + 6* r sin θ  = 7

wolf1728 · Answer

-2x+6y=7
First, solve for y
y = 1/3 x + 7/6

hmm seems as if cutegirl has left the topic

wolf1728 · Answer

sin theta = y/r 
then 
y = r * sin (theta)

cos theta = x/r
then
x = r * cos theta

directrix · Answer

Right.

wolf1728 · Answer

y = 1/3 x + 7/6
r * sin theta = (1/3) * r * cos (theta) + 7/6

r * sin theta  -(1/3) * r * cos (theta)  = 7/6

r * (sin (theta) -(1/3) * cos (theta) ) =7/6

r =       7 / 6*[(sin (theta) -(1/3) * cos (theta) )]

directrix · Answer

In the posted options, where do you think that the numerical values of the angles are coming from?  @wolf1728

wolf1728 · Answer

Gee, I thought I had the answer and forgot there were some multiple choice answers available.

anonymous · Answer

im here guys

directrix · Answer

I have converted rectangular equations to polar ones and the reverse but never got numerical answers as angles.

directrix · Answer

@cutegirl   Is there a sample type of one of these problem worked out in your text? 
If so, would you post it?

anonymous · Answer

does this help

directrix · Answer

It might. I may have to work on that tomorrow (later today). Let me see if a "Big Brain" is here now.