posted by .

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
    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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Science

    Given seccant of thata = 3, use trigonometric identities to find the exact value of a- Cos thata b- tan squre of thata c csc (90 degree - thata) d- sin squre thata secTheta=3 but secTheta= 1/cosTheta solve for cosTheta Then, sin^2theta+ …
  2. physics

    a 5.0kg concrete block accelerates down a 34 degree slope at 4.2 m/s^2. Find the coefficient of friction between the block and the slope. The component of weight down the slope is mg*SinTheta. The component of weight perpendicular …
  3. differentiate

    A = 1/2 ab Sinè How is dA/dt related to da/dt, db/dt and dè/dt dA/dt= 1/2 b SinTheta da/dt + 1/2 a SinTheta db/dt + 1/2 ab cosTheta dTheta/dt This is a U = xyz form dU/dt= xy dz/dt + ...
  4. pre-calculus

    Graph the polar equation: 2=r cos(theta + 180) 2=r(costheta cos180+sintheta sin180) 2=r(1/2costheta +pi+ pi sintheta) 2=1/2rcostheta + pi rsintheta 2=1/2x+ pi y 4=x+ pi 0= x + pi-4 how do i graph?
  5. Trig

    The next two steps in solving this trig identity question are ?
  6. Precalc HELP PLEASE

    verify 1-sintheta * costheta * tantheta = cos^2theta
  7. Physics - Verification

    Hello, just wanted to verify is what I did is good. I posted this question yesterday and Bob helped me, so just wanted to be sure it's good. The problem is: A bloc of 10 kg is put at the top of an inclined plan of 45 degrees (to the …
  8. Polar equations - Help?

    i need to graph the polar equation 2 = r cos (theta + 180) on one of the graphs that looks like a flattened globe. So far I have 2=r cos180 costheta + r sin180 sintheta what do i do now?
  9. maths trigonometry

    if cottheta=7/8 then what is the value of 1+costheta/1-sintheta*1-costheta/1+sintheta.
  10. physics

    A 2.00 kg ball moving to the right at 10.0 m/s makes an off-center collision with a stationary 3.00 kg ball. After the collision, the 2.00 kg ball is deflected upward at an angle of 30o from its original direction of motion and the …

More Similar Questions