62
CHAPTER 3
1. Rectangular coordinates → Polar coordinates
xy→r (:finds polar coordinate r from rectangular coordinates (x,y)
xy→θ (:finds polar coordinate θ from rectangular coordinates (x,y)
Conversion formulas:
r
The following scopes are used to find θ
Deg mode: 0
|θ|
180
Rad mode: 0
|θ| π
Grad mode: 0
|θ| 200
2. Polar coordinates → Rectangular coordinates
rθ→x (:finds rectangular coordinate x from polar coordinates (r, θ)
rθ→y (:finds rectangular coordinate y from polar coordinates (r, θ)
<Coordinate conversion examples>
No. Example Key operations Answer
1 Rectangular coordinate
→polar coordinates:
Convert coordinates (5,3)
to polar coordinates
(Angle mode:Deg)
First find r
≥D3
5
,
3
)®
Next find θ
≥D4
5
,
3
)®
First find x
≥D5
14
,Ïπ
/
3
)®
Next find y
≥D6
14
,Ïπ/
3
)®
First find the size
≥D3
3
,
9
)®
Next find the direction
≥D4
3
,
9
)®
3 Application example
Find size and direction
(phase) of vector i = 3+j9
(Angle mode:Deg)
5.830951895
2 Polar coordinates
→rectangular coordinates:
Convert coordinates
(r=14, θ=π/3) to rectangu-
lar coordinates (Angle
mode:Rad)
7
12.12435565
9.486832981
71.56505118
30.96375653
* For degree conversion, it is possible to input lists and variables. It is not restricted only to
numerical values. To use variables, numeric values must be entered for the variables.
Y
0
X
θ
r
,
,
,
,
,
,