Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

sassieston

  • 2 years ago

Please help, Simmons, page 579 problem 4. Prove that r1=theta and r2=1/theta intersect orthogonally at theta=1. Pt 1: they intersect, r = 1 = 1/1 which is true. Pt 2: Define psi1 as the angle between the line from the origin to a point on r=theta and the tangent to that point. tan(psi1) = r1/(dr1/dtheta) = theta/1 = theta. tan(psi2) = -theta orthonogal implies tan(psi1-psi2) = 1 (since psi2 is negative) this becomes: (tan(psi1)-tan(psi2))/(1+tan(psi1)tan(psi2)) = 1 2theta/(1-theta^2) = 1 using theta=1, 2/0 = 1, which is false what am i doing wrong here?

  • This Question is Closed
  1. sassieston
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1373741004309:dw|

  2. sassieston
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    found out my mistake: tan(theta)=1 implies theta = 45 degrees, not 90

  3. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy