Posted by **Hannah** on Sunday, August 3, 2014 at 2:53pm.

what does the polar equation r=1/(sintheta

+ costheta) represent?

how do I do this problem

- math -
**Reiny**, Sunday, August 3, 2014 at 5:33pm
In your text or in your notes you should find the following relationship between (r,Ų) and (x,y)

x = rcosŲ -->cosŲ = x/r

y = rsinŲ --> sinŲ = y/r

r^2 = x^2 + y^2

and

tanŲ = y/x

so in

r = 1/(sinŲ + cosŲ)

r(sinŲ + cosŲ) = 1

rsinŲ + rcosŲ = 1

y+x=1 , which of course is a straight line with slope -1 and y-intercept of 1

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