Join TSR now and get all your revision questions answeredSign up now

Plotting hyperbolic functions in parametric form Watch

    • Thread Starter
    Offline

    1
    ReputationRep:
    Hi, so I would like to plot the following graph in parametric form:

    t = m(sinh2x - 2x)
    a = m(cosh2x - 1)

    I do not know how to even begin sketching this graph. Although I considered the limit of t/a as x tends to infinity and it turned out to be 1 which means that for large t, a will behave linearly (i.e. gradient = 1)

    I would appreciate any advice!

    Thanks!
    • Study Helper
    Offline

    3
    (Original post by spacewalker)
    Hi, so I would like to plot the following graph in parametric form:

    t = m(sinh2x - 2x)
    a = m(cosh2x - 1)

    I do not know how to even begin sketching this graph. Although I considered the limit of t/a as x tends to infinity and it turned out to be 1 which means that for large t, a will behave linearly (i.e. gradient = 1)

    I would appreciate any advice!

    Thanks!
    To get you started:

    What quadrants is it going to be in?

    Is there a symmetry?

    Easy points that it goes through?

    Gradient +ve, -ve, or a mix?
 
 
 
Poll
How are you feeling about Results Day?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Quick reply
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.