# ellipse (1 Viewer)

#### Masaken

##### Member
are ellipses anywhere in the extension 1 course (+ more precisely, year 11 in the new syllabus)? wondering because a maths qn i'm doing is asking me to sketch an ellipse after finding its equation and i have no idea how to do it

#### yanujw

##### Active Member
Technically it could be done by a dilation of a circle, although I'd expect that to be within the 2u course. Perhaps upload the question for us to look at?

• Masaken

#### Masaken

##### Member
Technically it could be done by a dilation of a circle, although I'd expect that to be within the 2u course. Perhaps upload the question for us to look at?
A curve is defined parametrically by the equations x = cos theta + 1, y = 2sintheta - 3.
(a) Find the Cartesian equation of the curve.
(b) Describe the curve, and then sketch it.

I ended up getting (x-1)^2 + [(y+3)^2/4] = 1 for the Cartesian equation, and while I know it's an ellipse I've no idea where to start with sketching it

#### 5uckerberg

##### Well-Known Member
Okay do you mean .

Okay first and foremost for this question we are going to start with the basics okay the equation for the circle is .
Well, we want to turn either or into zero first then we can start talking.

Knowing that let then we have . Next step we have then therefore, .

Do the same for then you will see that . Then of course there

At this point draw up the points and then trace out the ellipse.

• Masaken

#### 5uckerberg

##### Well-Known Member
Please note learn to type your equation in latex thank you it was a bit hard to read at first because I thought it was that you were found.

Your problem if typed in Latex would have to be done like this

1. Press f(x) which will bring up LaTeX
2. Type in \left(x-1\right)^{2}
3. Type in \frac{\left(y+3\right)^{2}}{4}
4. Type in = 1
5. Completed.

• Masaken and cossine

#### Masaken

##### Member
Please note learn to type your equation in latex thank you it was a bit hard to read at first because I thought it was that you were found.

Your problem if typed in Latex would have to be done like this

1. Press f(x) which will bring up LaTeX
2. Type in \left(x-1\right)^{2}
3. Type in \frac{\left(y+3\right)^{2}}{4}
4. Type in = 1
5. Completed.
Thanks a lot, will take note of that in the future