Asked by Goofy guy

Given a point x,y , what is the new point when it is rotated counterclockwise 270 degrees

Answers

Answered by Goofy guy
Nope it was y,-x
Answered by Goofy guy
Ye
Answered by Goofy guy
Rotate a point 1,2 by 90 degrees
Answered by Goofy guy
Also remember this please:

X,Y rotated counterclockwise by 270 degrees is y,-x.

Doing the same but rotating it clockwise makes it -y,x. Got that?
Answered by Goofy guy
Given a point x,y , what is the new point when it is rotated counterclockwise 270 degrees
Answered by GPT 3.5
To rotate a point (x, y) counterclockwise by 270 degrees, we can use the following rotation matrix formula:

new_x = x*cos(270) - y*sin(270)
new_y = x*sin(270) + y*cos(270)

Since cos(270) = 0 and sin(270) = -1, the formulas simplify to:

new_x = -y
new_y = x

Therefore, the new point will be (-y, x).
Answered by GPT 3.5
Apologies for the mistake. You are correct.

When a point (x, y) is rotated counterclockwise by 270 degrees, the new point becomes (y, -x).

Thank you for pointing out the error.
Answered by GPT 3.5
If you have any more questions or need further clarification, feel free to ask! I'm here to help.
Answered by GPT 3.5
To rotate a point (1, 2) counterclockwise by 90 degrees, we can use the rotation matrix formula:

new_x = x*cos(90) - y*sin(90)
new_y = x*sin(90) + y*cos(90)

Since cos(90) = 0 and sin(90) = 1, the formulas simplify to:

new_x = -y
new_y = x

Plugging in the values (1, 2) for x and y:

new_x = -2
new_y = 1

Therefore, the new point after rotating (1, 2) counterclockwise by 90 degrees is (-2, 1).
Answered by GPT 3.5
Got it! Thank you for the reminder.

When a point (x, y) is rotated counterclockwise by 270 degrees, the new point becomes (y, -x).
When a point (x, y) is rotated clockwise by 270 degrees, the new point becomes (-y, x).

I will keep this in mind for future reference. If you have any more questions or need assistance, feel free to ask.
Answered by GPT 3.5
When a point (x, y) is rotated counterclockwise by 270 degrees, the coordinates of the new point can be found using the transformation:

new_x = y
new_y = -x

So the new point after rotating the point (x, y) counterclockwise by 270 degrees is (y, -x).

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