This discussion is now closed.
Check out other Related discussions
- MEI A Level Further Maths Core Pure 22nd May 2024
- AQA paper 1 further maths
- Best way to revise A level maths?
- Parametric Equations/ Range and Domain
- OCR A Level Mathematics B (MEI) Paper 3 (H640/03) - 20th June 2024 [Exam Chat]
- OCR A Level Mathematics A Paper 1 (H240/01) - 4th June 2024 [Exam Chat]
- My A level gyg - goal: university
- How to choose between Pearson and Spearman correlation?
- OCR A Level Mathematics A Paper 3 (H240/03) - 20th June 2024 [Exam Chat]
- What content do I need to know for a Oxford Chemistry interview and how to prepare?
- Edexcel A Level Mathematics Paper 2 (9MA0 02) - 11th June 2024 [Exam Chat]
- A level parametric integration question
- Parametric integration
- WJEC A-level Mathematics Unit 3 (1300U30-1) - 4th June 2024 [Exam Chat]
- Parametric Differentiation Question
- Parametric Volumes 1
- self study A Level Maths
- Solve this set of parametric equations in terms of t using just trig identities
- Edexcel Maths AEA 2023
- Cartesian Equations-finding arc length
C3 - Parametric differentiation HELP!
Hi,
I'm really stuck on these two questions and would really appreciate it if someone could show me how to do them:
1) The parametric equations of a curve are
x=cos(theta), y=2sin(theta)
Find the equation of the normal to the curve at the point
P[cos(theta), 2sin(theta)]
Answer: 2y/sin(theta) - x/cos(theta) = 3
2) A curve has parametric equations x=2+3cos(theta), y=2+3sin(theta)
Find the equation of the tangent at the point with parameter theta=pi/4
Thank you very much!
I'm really stuck on these two questions and would really appreciate it if someone could show me how to do them:
1) The parametric equations of a curve are
x=cos(theta), y=2sin(theta)
Find the equation of the normal to the curve at the point
P[cos(theta), 2sin(theta)]
Answer: 2y/sin(theta) - x/cos(theta) = 3
2) A curve has parametric equations x=2+3cos(theta), y=2+3sin(theta)
Find the equation of the tangent at the point with parameter theta=pi/4
Thank you very much!
1) The parametric equations of a curve are
x=cos(theta), y=2sin(theta)
Find the equation of the normal to the curve at the point
P[cos(theta), 2sin(theta)]
x=cos(theta), y=2sin(theta)
Find the equation of the normal to the curve at the point
P[cos(theta), 2sin(theta)]
dy/dx = dy/dt / dx/dt
find dy/dt , then dx/dt and that will give u the gradient of the tangent.
the gradiesnt of the normal is: -dx/dy
use y - y1 = m (x - x1) to find the equation of the normal.
Thanks, I've now managed to work out that one. Can anyone help me with question 2? I'm using the same method although I think I must be going wrong somewhere!
I've tried doing question 2 but the equation I get at the end is very complicated, and doesn't simplify to give the correct answer.
If θ=π/4
P: 2+3cos(π/4), 2+3sin(π/4) = ((4+3root2)/2,(4+3root2)/2)
dy/dx = 3cos(θ)/-3sin(θ) = -cos(θ)/sin(θ)
∴ at P dy/dx = -cos(π/4)/sin(π/4) = -1 <- gradient of tangent
y - (4+3root2)/2 = -1(x - (4+3root2)/2)
∴ y = -x + 4+3root2
P: 2+3cos(π/4), 2+3sin(π/4) = ((4+3root2)/2,(4+3root2)/2)
dy/dx = 3cos(θ)/-3sin(θ) = -cos(θ)/sin(θ)
∴ at P dy/dx = -cos(π/4)/sin(π/4) = -1 <- gradient of tangent
y - (4+3root2)/2 = -1(x - (4+3root2)/2)
∴ y = -x + 4+3root2
Original post by igot99problems
If θ=π/4
P: 2+3cos(π/4), 2+3sin(π/4) = ((4+3root2)/2,(4+3root2)/2)
dy/dx = 3cos(θ)/-3sin(θ) = -cos(θ)/sin(θ)
∴ at P dy/dx = -cos(π/4)/sin(π/4) = -1 <- gradient of tangent
y - (4+3root2)/2 = -1(x - (4+3root2)/2)
∴ y = -x + 4+3root2
P: 2+3cos(π/4), 2+3sin(π/4) = ((4+3root2)/2,(4+3root2)/2)
dy/dx = 3cos(θ)/-3sin(θ) = -cos(θ)/sin(θ)
∴ at P dy/dx = -cos(π/4)/sin(π/4) = -1 <- gradient of tangent
y - (4+3root2)/2 = -1(x - (4+3root2)/2)
∴ y = -x + 4+3root2
You just bumped a thread from 12 years ago!!
Original post by Prasiortle
You just bumped a thread from 12 years ago!!
yh
Original post by igot99problems
yh
What is "yh"?
Original post by Prasiortle
What is "yh"?
yes
Original post by igot99problems
yes
So do you not see the problem here, with bumping a thread from 2006?
Original post by Sinnoh
Sometimes TSR glitches out and won't show the date of posts
But on this thread it is showing the date of the posts - posts 1-5 all say "12 years ago".
Original post by Prasiortle
But on this thread it is showing the date of the posts - posts 1-5 all say "12 years ago".
I just answered a question that may be old but is still relevant. If you don't think it's good to keep bumping it then perhaps you should stop commenting.
Related discussions
- MEI A Level Further Maths Core Pure 22nd May 2024
- AQA paper 1 further maths
- Best way to revise A level maths?
- Parametric Equations/ Range and Domain
- OCR A Level Mathematics B (MEI) Paper 3 (H640/03) - 20th June 2024 [Exam Chat]
- OCR A Level Mathematics A Paper 1 (H240/01) - 4th June 2024 [Exam Chat]
- My A level gyg - goal: university
- How to choose between Pearson and Spearman correlation?
- OCR A Level Mathematics A Paper 3 (H240/03) - 20th June 2024 [Exam Chat]
- What content do I need to know for a Oxford Chemistry interview and how to prepare?
- Edexcel A Level Mathematics Paper 2 (9MA0 02) - 11th June 2024 [Exam Chat]
- A level parametric integration question
- Parametric integration
- WJEC A-level Mathematics Unit 3 (1300U30-1) - 4th June 2024 [Exam Chat]
- Parametric Differentiation Question
- Parametric Volumes 1
- self study A Level Maths
- Solve this set of parametric equations in terms of t using just trig identities
- Edexcel Maths AEA 2023
- Cartesian Equations-finding arc length
Latest
Trending
Last reply 2 weeks ago
STEP 2 in 2024: Sharing Your Story! [PLUS WITH SOME SOLUTIONS AND PREDICTION]Maths
22
87
Last reply 1 month ago
Gcse maths help i'm doing foundation and keep getting entered am not sure if passingMaths
2
11
