Rotation Watch

Zenarthra
Badges: 3
Rep:
?
#1
Report Thread starter 4 years ago
#1
Take for example y=1/x

How do i rotate this 45 degrees clockwise and obtain the new equation?
Would i use matrix transformations?

THankS
0
reply
tombayes
  • Study Helper
Badges: 12
Rep:
?
#2
Report 4 years ago
#2
(Original post by Zenarthra)
Take for example y=1/x

How do i rotate this 45 degrees clockwise and obtain the new equation?
Would i use matrix transformations?

THankS
I would parametrize the function:

so y=1/x becomes (t,1/t), t\in \mathbb{R}
Then apply the transformation:


x′=xcos \theta - ysin \theta

y′= xsin\theta+ycos \theta
which rotates (x,y) to (x',y') by angle \theta about the origin.

So (t,1/t) becomes (tcos \theta-\frac{sin \theta}{t}, tsin\theta+\frac{cos \theta}{t}) when rotated by angle \theta about the origin.
0
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

University open days

  • Cranfield University
    Cranfield Forensic MSc Programme Open Day Postgraduate
    Thu, 25 Apr '19
  • University of the Arts London
    Open day: MA Footwear and MA Fashion Artefact Postgraduate
    Thu, 25 Apr '19
  • Cardiff Metropolitan University
    Undergraduate Open Day - Llandaff Campus Undergraduate
    Sat, 27 Apr '19

Have you registered to vote?

Yes! (443)
37.83%
No - but I will (88)
7.51%
No - I don't want to (80)
6.83%
No - I can't vote (<18, not in UK, etc) (560)
47.82%

Watched Threads

View All
Latest
My Feed