Given a point (x, y), what is the new point when the point is rotated counterclockwise about the origin 270 degrees

Answer 1

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).