Question

How are the coordinates of the new point found if it is rotated 90° counterclockwise? How many degrees is that equivalent to if the rotation is clockwise?

Answer 1

@Kevin

Answer 2

360-90 = 270

Answer 3

How are the coordinates of the new point found if it is rotated 180° counterclockwise? How many degrees is that equivalent to if the rotation is clockwise?

Answer 4

am too bored seriously and too lazy i will just watch Kevin solving problems

Answer 5

lol

Answer 6

okay...
for the first question
we should find the matrix rotation

\[M = \frac{ \cos180 \times -\sin180 }{ \sin 180\times \cos 180 }\]
\[= \left[\begin{matrix}-1 & 0 \\ 0 & -1\end{matrix}\right]\]

so, for any (x,y) rotated by 180 degree would be
\[(x,y) \times \left[\begin{matrix}-1 & 0 \\ 0 & -1\end{matrix}\right]\]
= (-x, -y)

Answer 7

I wonder what's he typing. i never seen him typing like that before

Answer 8

I was typing the equation will.... lol

Answer 9

lol i will just watch.. looks pretty nice work keep going mate

Answer 10

wait,, it's 90 degree

Answer 11

OMG I'm writing again o_O

Answer 12

i don't think you needed to use all that tri functions

Answer 13

You have more simple method?

Answer 14

well there's simple form

90 degrees counterclockwise (x,y) --> (-y,x) that's a constant fact you don't need to prove anything

Answer 15

lol..
Honestly, my teacher never teach me like that xD
He just give me the matrix rotation formula..

Thx anyway will!

Answer 16

lol sure np
your teacher loves to show off lol

Answer 17

xD

Answer 18

How are the coordinates of the new point found if it is rotated 90° countercloc

Answer 19

How are the coordinates of the new point found if it is rotated 90° counterclock

Answer 20

How are the coordinates of the new point found if it is rotated 90° counterclock

Answer 21

How are the coordinates of the new point found if it is rotated 90° counterclock

Answer 22

How are the coordinates of the new point found if it is rotated 90° counterclock

Answer 23

How are the coordinates of the new point found if it is rotated 90° counterclock

Answer 24

How are the coordinates of the new point found if it is rotated 90° counterclock

Answer 25

How are the coordinates of the new point found if it is rotated 90° counterclock

Answer 26

How are the coordinates of the new point found if it is rotated 90° counterclock

Answer 27

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Answer 38

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