Finding the Angle θ
Rectangular
→
Polar
Position: (
1.00
,
1.00
)
tan
-1
(y/x) result:
45.0°
Mathematical Case:
tan
-1
(
y/x
)
x
> 0
π + tan
-1
(
y/x
)
x
< 0,
y
> 0
-π + tan
-1
(
y/x
)
x
< 0,
y
< 0
Pedagogical Hint:
The dashed line is what your calculator "thinks" the angle is. Notice how it's always in the right-hand plane!