MAT1110 deleksamen
Moderators: Vektormannen, espen180, Aleks855, Solar Plexsus, Gustav, Nebuchadnezzar, Janhaa
-
saifuran96
- Fibonacci
- Posts: 3
- Joined: 20/03-2017 11:12
Hvordan regner man frem til dette uten å sette inn x og y for å sjekke svaret.
- Attachments
-
- Screenshot from 2017-03-20 11-03-46.png (21.85 KiB) Viewed 1490 times
-
saifuran96
- Fibonacci
- Posts: 3
- Joined: 20/03-2017 11:12
O
Last edited by saifuran96 on 20/03-2017 13:04, edited 1 time in total.
-
DennisChristensen
- Grothendieck
- Posts: 826
- Joined: 09/02-2015 23:28
- Location: Oslo
$x-1 = 2\sin t$ og $y + 1 = 4\cos t$, så $(x-1)^2 = 4\sin^2 t$ og $(y+1)^2 = 16\cos^2 t$. Ettersom $\cos^2 t + \sin^2 t = 1$ for alle $t$ ser vi at $$(y+1)^2 + 4(x-1)^2 = 16,$$ så $$\frac{(x-1)^2}{4} + \frac{(y+1)^2}{16} = 1.$$