Game Development Reference
In-Depth Information
1.
(a) (4, 207
o
) ≡ (4, 207
o
−360
o
) ≡ (4,−153
o
)
2.
(b) (−5,−720
o
) ≡ (−5, 0
o
) ≡ (5, 180
o
)
(c) (0, 45.2
o
) ≡ (0, 0
o
)
(d) (12.6, 11π/4 rad) ≡ (12.6, 11π/4 rad−2π rad) ≡ (12.6, 3π/4 rad)
(a) (1, 45
o
)
p
≡ (1 cos 45
o
, 1 sin 45
o
)
c
≈ (10.707, 10.707)
c
= (0.707, 0.707)
c
3.
(b) (3, 0
o
)
p
≡ (3 cos 0
o
, 3 sin 0
o
)
c
= (31, 30)
c
= (3, 0)
c
(c) (4, 90
o
)
p
≡ (4 cos 90
o
, 4 sin 90
o
)
c
= (40, 41)
c
= (0, 4)
c
(d) (10,−30
o
)
p
≡ (10 cos(−30
o
), 10 sin(−30
o
))
c
≈ (100.866, 10(−0.500))
c
= (8.66,−5.00)
c
(e) (5.5, π rad)
p
≡ (5.5 cos(π rad), 5.5 sin(π rad))
c
= (5.5(−1), 5.5(0))
c
= (−5.5, 0)
c
(a) (4, 207
o
)
p
≡ (4 cos 207
o
, 4 sin 207
o
)
c
≈ (4−.891, 4−.454)
c
≈ (−3.56,−1.82)
c
4.
(b) (−5,−720
o
)
p
≡ (−5 cos(−720
o
),−5 sin(−720
o
))
c
= (−51,−50)
c
= (−5, 0)
c
(c) (0, 45.2
o
)
p
≡ (0, 0)
c
. No credit will be awarded if you actually bothered to calculate
the sine and cosine of 45.2
o
.
(d) (12.6, 11π/4 rad)
p
≡ (12.6 cos(11π/4 rad), 12.6 sin(11π/4 rad))
c
≈ (12.6−.707, 12.6
707)
c
≈ (−8.91, 8.91)
c
Notice that it really isn't any different or more di
cult to convert noncanonical polar
coordinates to Cartesian.
Search WWH ::
Custom Search