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Cirkelfunktioner
Cotangenten (förkortning cot)
Grader
1.
i
0
10
20
30’
40
50
60’
0
"V’
343,77371
171.88540 114,5886!
i 85.93979
’ 68,75009
’ 57,28996
89
1
57.28996 49,10388
: 42,96408 38,18846
> 34.36777
’ 31,24158
i 28,63625
88
2
28,63625 26,43160
’ 24,54176
22,90377
’ 21,47040
’ 20,20555
19,08114
87
3
19.08114 18.07498
1 17,16934
16,34986
15.60478
: 14,92442
14.30067
86
4
14,30067
13.72674
13,19688
12,70621
12,25051
11,82617
11,43005
85
5
11,43005
11,05943
10,71191
10,38540
10,07803
9,78817
9,51436
84
6
9,51436
9.25530
9,00983
8,77689
’ 8,55555
8,34496
8.14435
83
7
8,14435
7.95302
7.77035
7,59575
7,42871
7,26873
7,11537
82
8
7,11537
6,96823
6.82694
6,69116
6,56055
6.43484
6,31375
81
1
9
6,31375
6.19703
6,08444
5,97576
5.87080
5,76937
5.67128
80
10
5,67128
5.57638
5,48451
5.39552
5,30928
5.22566
5,14455
79
11
5.14455
5,06584 4,98940
4,91516
4.84300 4.77286
4,70463
78
12
4,70463
4.63825
4,57363
4.51071
4.44942
4,38969
4,33148
77
13
4,33148 4,27471
4,21933
4,16530
4,11256
4.06107
4.01078
76
14
4,01078
3.96165
3,91364
3.86671
3.82083
3,77595
3.73205
75
15
3.73205
3,68909
3.64705
3,60588
3.56557
3,52609
3,48741
74
16
3,48741
3.44951
3.41236
3,37594
3,34023
3.30521
3,27085
73
17
3,27085
3.23714
3.20406
3.17159
3.13972
3.10842
3,07768
72
18
3,07768
3.04749
3,01783
2,98869
2,96004
2.93189
2,90421
71
19
2,90421
2,87700
2,85023
2,82391
2,79802
2.77254
2,74748
70
20
2,74748
2,72281
2.69853
2,67462
2,65109
2,62791
2,60509
69
21
2,60509
2,58261
2,56046
2.53865
2,51715
2,49597
2,47509
68
22
2.47509
2,45451
2.43422
2.41421
2,39449
2.37504
2,35585
67
23
2,35585
2,33693
2,31826
2.29984
2,28167
2,26374
2,24604
66
24
2,24604
2.22857
2,21132
2,19430
2,17749
2,16090
2,14451
65
25
2.14451
2,12832
2,11233
2,09654
2,08094
2,06553
2,05030
64
26
2,05030
2.03526
2,02039
2,00569
1,99116
1,97680
1,96261
63
27
1,96261
1,94858
1,93470
1.92098
1,90741
1,89400
1.88073
62
28
1,88073
1,86760
1,85462
1.84177
1.82906
1,81649
1.80405
61
29
1,80405
1.79174
1,77955
1,76749
1,75556
1,74375
1,73205
60
30
1.73205
1,72047
1.70901
1,69766
1.68643
1.67530
1.66428
59
31
1.66428
1,65337
1,64256
1.63185
1,62125
1,61074
1,60033
58
32
1.60033 1,59002
1.57981
1,56969
1,55966
1,54972
1.53987
57
33
1,53987
1,53010
1,52043
1,51084
1.50133
1.49190J 1,48256
56
34
1.48256
1.47330
1.46411
1.45501 1.44598
1,43703 1,42815
55
35
1,42815
1.41934
1,41061
1,40195
1,39336
1,38484
1,37638
54
36
1.37638
1.36800
1.35968
1.35142
1.34323
1.33511
1.32704
53
37
1.32704 1,31904
1,31110
1.30323
1,29541
1,28764
1,27994
52
38
1.27994
1.27230’ 1.26471
1.25717
1.24969
1 24227
1,23490
51
39
1,23490
I
1.22758
1.22031
1,21310
1,20593
1,19882
1,19175
50
40
1,19175
1,18474
1,17777
1.17085
1,16398
1,15715: 1,15037
49
41
1.15037 1,14363
1,13694
1,13029. 1.12369
1.11713 1.11061
48
42
1,11061
1,10414
1.09770
1,09131
1,08496
1.07864
1.07237
47
43
1,07237
1.06613 1,05994
1.05378 1,04766
1,04158 1.03553
46
44
1.03553 1,02952
1
1,02355
1.01761
1,01170
1,00583
1,00000
45
^
60’
r
50
i
I
40
30
20
10’
0’
Grader
–––––––––––––––-_
_
TANGENTE
N
Trigonometri
Beräkning av rätvinkliga trianglar
Givet
a, b
a, c
a, a
b, a
C, Cl
Sökt
et
3
F
u
b
F
b
F
a
F
a
b
F
Lösning
tg
Ct 1=3
tg ^
a
b
b
a
a =
90
,3
j
90
a :
F
IV
a • b
b2;
a
b
sin « cos a’
F – ytan
sin a
cos ,3
a
_ *
C ’
a
ct -= 90
ii;
c *
J —
90
i ^
a :
b-l
F
,-2
c — a2— l (c-l-a) (c —a) =-c cos a ^c • sin t3;
a
1
yl (c I- a) (c - a) - y a c sin 3.
b
a * COt a;
sin «
F
2
COt ct.
a
b tg a ;
b
F
COS a ’
b2
~2 • tg «;
a
c • sin u ;
b
c • cos « ;
Fig. 2
F
y sin n • cos ct
4
sin 2 a.
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