Given a point on a geometric figure (1, 2) what is the new point when the point is rotated clockwise about the origin 90 degrees
To find the new point when the given point (1, 2) is rotated clockwise about the origin 90 degrees, we can use the following rotation formula:
x' = x * cosθ - y * sinθ
y' = x * sinθ + y * cosθ
In this case, θ = 90 degrees.
So, substituting the values x=1, y=2, and θ=90 into the rotation formula, we get:
x' = 1 * cos(90) - 2 * sin(90)
y' = 1 * sin(90) + 2 * cos(90)
cos(90) = 0 and sin(90) = 1, so we can simplify the equations further:
x' = 0 - 2 * 1 = -2
y' = 1 + 2 * 0 = 1
Therefore, the new point after rotating the given point (1, 2) clockwise about the origin 90 degrees is (-2, 1).