[Python] Why doesn't my code check for angles at certain increments?

I am trying to detect whether or not the mouse position is at a certain angles, given a centre to rotate around , but it is not working completely.

radius = 110#px
angle = math.pi /2
step=0

while True:
x= radius * math.cos((angle))
y = radius * math.sin((-angle))
win32api.SetCursorPos((int( x+xcentre),int(y+ycentre)))

if angle >= 2*math.pi + math.pi/2:
break
degrees_angle=int(math.degrees(angle))
mx,my = pyautogui.position()
print(degrees_angle)
if (degrees_angle - 90)%cycles==0:
print("found")
pyautogui.mouseDown(button='left')
position_list.append(mx)
position_list.append(my)
time.sleep(1)

angle+=0.1


At the moment it starts at the top and rotates counter clockwise. To remove ambiguity cycles=4. But right now it only found twice at 0 and 180 rather than 4 times which should be at 0,90,180 and 270 degrees. Does anyone know what I did wrong?

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