Question

What degree of rotation and formula for the rotation

1) Ro(X,Y) = (___,___)
2) ___ degree rotation.

Answer 1

The degree of rotation and formula for rotation can be determined using the coordinates of the point before and after rotation. The general formula for rotation is Ro(X,Y) = (x*cos(θ) - y*sin(θ), x*sin(θ) + y*cos(θ)).

Step-by-step explanation:

To find the degree of rotation and formula for rotation, we need to know the coordinates of the point before and after rotation.

For rotation (x, y) by an angle θ, the formula for rotation is:

Ro(X,Y) = (x*cos(θ) - y*sin(θ), x*sin(θ) + y*cos(θ))

For example:

1) Ro(X,Y) = (4*cos(30°) - 2*sin(30°), 4*sin(30°) + 2*cos(30°))

2) 45 degree rotation = (x*cos(45°) - y*sin(45°), x*sin(45°) + y*cos(45°))