Given a point (x, y), what is the new point when the point is rotated counterclockwise about the origin 270 degrees
To find the new point after rotating counterclockwise about the origin 270 degrees, we can use the following formulas:
New x-coordinate = x * cos(θ) - y * sin(θ)
New y-coordinate = x * sin(θ) + y * cos(θ)
In this case, θ is equal to 270 degrees.
Therefore, the new point is:
New x-coordinate = x * cos(270) - y * sin(270)
= x * 0 - y * (-1)
= 0 + y
= y
New y-coordinate = x * sin(270) + y * cos(270)
= x * (-1) + y * 0
= -x
Thus, the new point after rotating counterclockwise about the origin by 270 degrees is (-y, -x).