Given a point on a line segment (-4,5) what is the new point when the point is rotated counterclockwise about the origin origin 270°
To rotate a point counterclockwise about the origin, we can use the following formulas:
x' = x * cos(θ) - y * sin(θ)
y' = x * sin(θ) + y * cos(θ)
In this case, the point to be rotated is (-4,5) and θ is 270°.
Let's substitute these values into the formulas:
x' = -4 * cos(270°) - 5 * sin(270°)
= -4 * 0 - 5 * (-1)
= 0 + 5
= 5
y' = -4 * sin(270°) + 5 * cos(270°)
= -4 * (-1) + 5 * 0
= 4 + 0
= 4
Therefore, the new point after rotating (-4,5) counterclockwise about the origin 270° is (5,4).