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

Answer 1

To find the new point when rotating a point about the origin, we can use the following rotation formula:

x' = x*cos(θ) - y*sin(θ)
y' = x*sin(θ) + y*cos(θ)

Where (x, y) are the original coordinates of the point, (x', y') are the new coordinates after rotation, and θ is the angle of rotation.

In this case, we want to rotate the point (1, 2) clockwise about the origin by 90 degrees. So, θ = 90°.

Applying the rotation formula:

x' = 1*cos(90°) - 2*sin(90°)
= 1*0 - 2*1
= -2

y' = 1*sin(90°) + 2*cos(90°)
= 1*1 + 2*0
= 1

Therefore, the new point after rotating (1, 2) clockwise about the origin by 90 degrees is (-2, 1).

Answer 2

No it is not (-2, 1), its (2, -1) 🙄