the point -3,3 is rotated 270 degrees. what is the new point
To rotate a point 270 degrees counterclockwise, we first need to understand that 270 degrees is equivalent to three quarters of a full rotation.
To find the new point after rotating the point (-3, 3) 270 degrees counterclockwise, we can use the following rotation formula:
x' = x*cos(theta) - y*sin(theta)
y' = x*sin(theta) + y*cos(theta)
In this case, x = -3, y = 3, and theta = 270 degrees.
Plugging in the values, we get:
x' = -3*cos(270) - 3*sin(270) = 0
y' = -3*sin(270) + 3*cos(270) = 3
Therefore, the new point after rotating (-3, 3) 270 degrees counterclockwise is (0, 3).