Answer:
The new coordinates are ( - 4, 5).
Explanation:
P = (5, 4)
angle of rotation, A = 270 degree counter clock wise
x = 5 and y = 4
The new coordinates are
x' = x cos A + y sin A
y' = y cos A - x sin A
So,
x' = 5 cos 270 + 4 sin 270 = 0 + 4 (-1) = - 4
y' = 4 cos 270 - 5 sin 270 = - 5 (-1) = 5
So, the new coordinates are ( - 4, 5) .