2D Transformation | Rotation of objects

We have to rotate an object by a given angle about a given pivot point and print the new co-ordinates.
Examples: 

Input : {(100, 100), (150, 200), (200, 200), 
 (200, 150)} is to be rotated about 
 (0, 0) by 90 degrees
Output : (-100, 100), (-200, 150), (-200, 200), (-150, 200)

👁 Example1

Input : {(100, 100), (100, 200), (200, 200)} 
 is to be rotated about (50, -50) by 
 -45 degrees
Output : (191.421, 20.7107), (262.132, 91.4214), 
 (332.843, 20.7107)

👁 Example2

In order to rotate an object we need to rotate each vertex of the figure individually. 
On rotating a point P(x, y) by an angle A about the origin we get a point P'(x', y'). The values of x' and y' can be calculated as follows:-

👁 Rotation Diagram

We know that, 
x = rcosB, y = rsinB
x' = rcos(A+B) = r(cosAcosB - sinAsinB) = cosA - sinA = xcosA - ysinA 
y' = rsin(A+B) = r(sinAcosB + cosAsinB) = sinA + cosA = xsinA + ycosA
Rotational Matrix Equation:-

 

Output: 

(-100, 100), (-200, 150), (-200, 200), (-150, 200)

Time Complexity: O(N)
Auxiliary Space: O(1) 
References: Rotation matrix