The formula for a Rotation Calculator involves using a rotation matrix to determine the new coordinates of a point after it has been rotated by a certain angle around the origin. NewX = x * cosθ + y * sinθ (for clockwise rotation) newX = x * cosθ – y * sinθ (for counterclockwise rotation) newY = x * sinθ – y * cosθ (for both clockwise and counterclockwise rotations) What is the formula for Rotation Calculator? To apply the rotation matrix to a point (x, y), we multiply the matrix by the column vector (x, y) and get the new coordinates (newX, newY): Where θ is the angle of rotation in radians. The rotation matrix for a counterclockwise rotation is: The rotation matrix for a clockwise rotation is: In order to rotate, we use a rotation matrix that takes into account the angle of rotation and the direction of rotation. With the Rotation Calculator, you can calculate the new coordinates of a point after rotating it, given the original coordinates, angle of rotation, and unit of angle. Try our Physics Calculator collection here.
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