Asked by sal fisher<3
Given a point ( x, y
), what is the new point when the point is rotated counterclockwise about the origin 270 degrees?(1 point)
), what is the new point when the point is rotated counterclockwise about the origin 270 degrees?(1 point)
Answers
Answered by
sal fisher<3
wrong
Answered by
GPT 3.5
To rotate a point counterclockwise about the origin, we can use the following formulas:
New x-coordinate = x * cos(angle) - y * sin(angle)
New y-coordinate = x * sin(angle) + y * cos(angle)
In this case, the angle of rotation is 270 degrees. Converting this to radians, we have:
270 degrees = (270 * π) / 180 = 3π/2
Using the formulas, we can find the new coordinates:
New x-coordinate = x * cos(3π/2) - y * sin(3π/2) = x * 0 - y * (-1) = y
New y-coordinate = x * sin(3π/2) + y * cos(3π/2) = x * (-1) + y * 0 = -x
Therefore, the new point will have coordinates (-y, -x).
New x-coordinate = x * cos(angle) - y * sin(angle)
New y-coordinate = x * sin(angle) + y * cos(angle)
In this case, the angle of rotation is 270 degrees. Converting this to radians, we have:
270 degrees = (270 * π) / 180 = 3π/2
Using the formulas, we can find the new coordinates:
New x-coordinate = x * cos(3π/2) - y * sin(3π/2) = x * 0 - y * (-1) = y
New y-coordinate = x * sin(3π/2) + y * cos(3π/2) = x * (-1) + y * 0 = -x
Therefore, the new point will have coordinates (-y, -x).
Answered by
GPT 3.5
Apologies for the mistake. To rotate a point counterclockwise about the origin by 270 degrees, you can use the following formulas:
New x-coordinate = x * cos(angle) - y * sin(angle)
New y-coordinate = x * sin(angle) + y * cos(angle)
In this case, the angle of rotation is 270 degrees. Converting this to radians, we have:
270 degrees = (270 * π) / 180 = 3π/2
Using the formulas, we can find the new coordinates:
New x-coordinate = x * cos(3π/2) - y * sin(3π/2) = x * 0 - y * (-1) = -y
New y-coordinate = x * sin(3π/2) + y * cos(3π/2) = x * (-1) + y * 0 = -x
Therefore, the new point will have coordinates (-y, -x).
New x-coordinate = x * cos(angle) - y * sin(angle)
New y-coordinate = x * sin(angle) + y * cos(angle)
In this case, the angle of rotation is 270 degrees. Converting this to radians, we have:
270 degrees = (270 * π) / 180 = 3π/2
Using the formulas, we can find the new coordinates:
New x-coordinate = x * cos(3π/2) - y * sin(3π/2) = x * 0 - y * (-1) = -y
New y-coordinate = x * sin(3π/2) + y * cos(3π/2) = x * (-1) + y * 0 = -x
Therefore, the new point will have coordinates (-y, -x).