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 rotate a point in a two-dimensional coordinate system clockwise about the origin, we can use the following formula:
(x', y') = (x * cosθ - y * sinθ, x * sinθ + y * cosθ)
Where (x, y) is the original point, (x', y') is the new point, and θ is the angle of rotation (in this case, 90 degrees).
Substituting the values (1, 2) into the formula, we get:
(x', y') = (1 * cos90 - 2 * sin90, 1 * sin90 + 2 * cos90)
Using the trigonometric identities cos90 = 0 and sin90 = 1, the formula simplifies to:
(x', y') = (0 - 2, 1 + 0) = (-2, 1)
Therefore, the new point after rotating (1, 2) clockwise about the origin 90 degrees is (-2, 1).