Given a point (1, 2) on a geometric figure what is the new point when the figure is rotated counterclockwise about the origin 90 degrees
To rotate a point counterclockwise about the origin, we can use the formula:
x' = x * cos(theta) - y * sin(theta)
y' = x * sin(theta) + y * cos(theta)
In this case, the point (1, 2) is rotated counterclockwise 90 degrees about the origin.
Therefore, theta = 90 degrees.
Plugging these values into the formula, we get:
x' = 1 * cos(90) - 2 * sin(90) = 1 * 0 - 2 * 1 = -2
y' = 1 * sin(90) + 2 * cos(90) = 1 * 1 + 2 * 0 = 1
So, the new point after rotating (1, 2) counterclockwise 90 degrees about the origin is (-2, 1).