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math

posted by on .

what does the polar equation r=1/(sintheta
+ costheta) represent?

how do I do this problem

  • math - ,

    In your text or in your notes you should find the following relationship between (r,Ø) and (x,y)

    x = rcosØ -->cosØ = x/r
    y = rsinØ --> sinØ = y/r
    r^2 = x^2 + y^2
    and
    tanØ = y/x

    so in
    r = 1/(sinØ + cosØ)
    r(sinØ + cosØ) = 1
    rsinØ + rcosØ = 1
    y+x=1 , which of course is a straight line with slope -1 and y-intercept of 1

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