Hey there! Sign in to join this conversationNew here? Join for free
x Turn on thread page Beta
    • Thread Starter
    Offline

    9
    ReputationRep:
    Find the Cartesian equation of the curve with polar equation r=cos^2Θ. Hence show that the equation of the tangent to the curve at the point ((1/2), ((1/4)pi)) is
    r=1/(sqrt2(3sinΘ-cosΘ))

    Ive done the first part and found the correct Cartesian equation:
    (x^2+y^2)^3 =x^4 but am unsure where to go from here
    • Study Helper
    Offline

    15
    Study Helper
    (Original post by Mathematicus65)
    Find the Cartesian equation of the curve with polar equation r=cos^2Θ. Hence show that the equation of the tangent to the curve at the point ((1/2), ((1/4)pi)) is
    r=1/(sqrt2(3sinΘ-cosΘ))

    Ive done the first part and found the correct Cartesian equation:
    (x^2+y^2)^3 =x^4 but am unsure where to go from here
    Since it says "hence show", I'd work out the equation of the tangent in cartesian, and then convert.
    • Thread Starter
    Offline

    9
    ReputationRep:
    (Original post by ghostwalker)
    Since it says "hence show", I'd work out the equation of the tangent in cartesian, and then convert.
    Thank you, i have done it now anyway, forgot that they had given me the polr coordinates, because I couldn't find the Cartesian coordinates to find the gradient but obviously just had to convert between the two
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: October 20, 2015
Poll
Do you agree with the proposed ban on plastic straws and cotton buds?
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

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