Help me with this math question please

The new coordinates are ( - 4, 5).

Step-by-step 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) .

Step-by-step explanation: