Work out rotation transformation instantly with clear inputs, formula shown and shareable results.
Rotating a point counter-clockwise about the origin by θ maps (x, y) to (x·cos θ − y·sin θ, x·sin θ + y·cos θ). Rotation preserves distance from the centre, so the radius is unchanged.
Rotation about the origin
x' = x·cos θ − y·sin θ, y' = x·sin θ + y·cos θ
It becomes (−4, 3), and the distance from the origin stays 5.
Enter a negative angle, which is equivalent to using −θ in the formulas.