MHB Sketch Parametric Curve and Find Cartesian Equation

Click For Summary
The discussion focuses on sketching the parametric curve defined by the equations x = cos(θ) and y = sec(θ) for 0 ≤ θ < π/2. The key point is that the parameter can be eliminated to derive the Cartesian equation, resulting in y = 1/x. Participants express a mix of confusion and realization regarding the elimination process. The conversation highlights the importance of understanding the relationship between parametric and Cartesian forms. Ultimately, the participant acknowledges their oversight in recognizing the already completed elimination of the parameter.
ineedhelpnow
Messages
649
Reaction score
0
sketch the parametric curve and eliminate the parameter to find the cartesian equation of the curve $x=\cos\left({\theta}\right)$, $y=\sec\left({\theta}\right)$, $0\le \theta < \pi/2$

$y=\frac{1}{\cos\left({\theta}\right)}=\frac{1}{x}$

i sketched the curve. how do i do the second part?
 
Physics news on Phys.org
You've already eliminated the parameter when you wrote:

$$y=\frac{1}{\cos(\theta)}=\frac{1}{x}$$
 
oh. wow I am really stupid. hahaha thanks (Tongueout)
 

Similar threads

Replies
3
Views
2K
Replies
8
Views
3K
Replies
10
Views
3K
Replies
11
Views
4K
Replies
7
Views
2K
Replies
29
Views
4K