Inclination and Anteversion on the Same Plane

OI = asin (sin (AI) * cos (AV))	(1)
OV = atan (tan (AI) * sin (AV))	(2)
RI = atan (tan (AI) * cos (AV))	(3)
RV = asin (sin (AI) * sin (AV))	(4)
AI = acos (cos (OI) * cos (OV))	(5)
AV = atan (cot (OI) * sin (OV))	(6)
RI = atan (tan (OI) / cos (OV))	(7)
RV = asin (cos (OI)* sin (OV))	(8)
AI = acos (cos (RI) * cos (RV))	(9)
AV = atan (tan (RV) / sin (RI))	(10)
OI = asin (sin(RI) * cos (RV))	(11)
OV = atan (tan (RV) / cos (RI))	(12)

AI = anatomic inclination; AV = anatomic version; OI = operative inclination; OV = operative version; RI = radiographic inclination; RV = radiographic version; formulas (2), (4), (6), (8), (10), and (12) are cited from Murray’s formulas [34].