A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

If x=cost and y=tant, how do I get rid of the parameter?

  • This Question is Closed
  1. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if y is the tangent of t then t is the angle whose tangent is y so we can write t = tan-1 y or t = arctan y do a similar procedure with y = cos t then you can form a relation between x and y

  2. Kainui
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I'd do it this way: \[y=\tan t = \frac{ \sin t}{\cos t}\] Now we know we can plug in \(\cos t =x\) but what about the \(\sin t\) part? Well here's a trick, use the Pythagorean identity: \[\sin^2 t + \cos^2 t = 1\] We can rearrange to get: \[\sin t = \sqrt{1- x^2}\] So now we can finish plugging in: \[y= \frac{ \sin t}{\cos t} = \frac{\sqrt{1-x^2}}{x}\]

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is + or - not necessary here? for the Square Root

  4. welshfella
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I think not because the angles are considered to be only in the first quadrant

  5. Kainui
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh yeah I think \(\pm\) is a good idea @ArkGoLucky

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh okay. Thanks.

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Could you help me with one more problem while you are here?

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well either of you

  9. 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

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.