Degree.

For angles under 45°.

Sine.

Covers.

Cosecnt.

Tangt.

Cotang.

Secant.

Versin.

Cosine.

0

0,00000

1,00000

Infinite.

0,00000

Infinite.

1,00000

0,0000

1,00000

90

1

0,01745

0.98254

57,2986

0,01745

57.2899

1,001115

0,0001

0,99984

89

2

0,03489

0,96510

28,6537

0,03492

28,6362

1,00060

0,0006

0,99939

88

3

0,05233

0,94766

19.1073

0.05240

19.0811

1,00137

0,0013

0.99862

87

4

0,06975

0,93024

14,3355

0,06992

14.3006

1,00244

0,0024

0.99750

86

5

0,08715

0,91284

11,4737

0,08748

11,4300

1,00381

0,0038

0,99019

85

6

0.10452

0,89547

9,5667

0,10510

9,5143

1,00550

0,0054

0.99452

84

7

0,12186

0,87813

8,2055

0,12278

8,1443

1,00750

0,0074

0.99254

83

8

0,13917

0,86082

7,1852

0,14054

7,1153

1 00982

0,0097

0.99020

82

9

0,15643

0,84356

6.3924

0,15838

6.3137

1,01240

0,0123

0,98768

81

10

0,17364

0,82035

5,7587

0,17632

5,0712

1,01542

0,0151

0,98480

80

11

0,19080

0,80919

5,2408

0.19438

5,1445

1,01871

0,0183

0.98102

79

12

0.20791

0,79208

4,8097

0,21255

4,7046

1,02234

0,0218

0.97814

78

13

0,22495

0,77504

4,4454

0,23086

4,3314

1,02630

0,0256

0.97437

77

14

0,24192

0,75807

4,1335

0.24932

4,0107

1,03061

0,0297

0,97029

76

15

0,25881

0,74118

3,8037

0,26794

3,7320

1,03527

0,0340

0,90592

75

16

0,27563

0,72430

3,6279

0.2S674

3,4874

1,04029

0,0387

0,90120

74

17

0,29237

0.70762

3,4203

0,30573

3,2708

1,04569

0,0436

0,95630

73

18

0,30901

0,69098

3,2360

0,32491

3,0770

1.05140

0.0489

0,95105

72

19

0,32556

0,67443

3,0715

0,34432

2 9042

1,05762

0,0544

0,94551

71

20

0,34202

0,05797

2.9238

0,36397

2,7174

1,00417

0,0603

0,93969

70

21

0.35836

0,64163

2,7904

0,38386

2,6050

1,07114

0,0664

0,93368

69

22

0,37460

0,02539

2.0094

0,40402

2,4750

1,07853

0,0728

0,92718

68

23

0,39073

0,60926

2,5593

0,42447

2,3558

1,08636

0,0794

0,92050

67

24

0,40673

0.59326

2.4585

0,44522

2,2460

1,09403

0.0864

0,91354

66

25

0,42201

0,57738

2,3662

0,40030

2,1445

1,10337

0,0936

0,90630

65

26

0,43837

0,56162

2.2811

0,48773

2,0503

1,11200

0,1012

0,89879

64

27

0.45399

0,54600

2,2026

0,50952

1,9626

1,12232

0,1089

0,89100

63

28

0.46947

0,53052

2,1300

0,53170

1,8807

1,13257

0,1170

0,88294

62

29

0,48480

0,51519

2.0626

0,55430

1,8040

1,14335

0,1253

0,87461

61

30

0,50000

0,50000

2,0000

0,57735

1,7320

1,15470

0,1339

0,86602

60

31

0,51503

0,48496

1.9416

0,60086

1,6642

1,10003

0,1428

0,85716

59

32

0.52991

0,47008

1.8870

0,62486

1,6003

1,17917

0,1519

0,84804

58

33

0,54463

0,45536

1,8360

0,64940

1,5398

1,19236

0,1613

0,83867

57

34

0.55919

0,44080

1,7882

0.67450

1,4825

1,20621

0,1709

0,82903

56

35

0,57357

0,42042

1,7434

0,70020

1,4281

1,22077

0,1808

0,81915

55

36

0.58778

0,41221

1,7013

0,72654

1,3763

1,23606

0,1909

0,80901

54

37

0.60181

0.39818

1,6616

0,75355

1.3270

1,25213

0.2013

0,79863

53

38

0,61566

0,38433

1,6242

0.78128

1,1299

1,26901

0,2119

0,78801

52

39

0,62932

0.37067

1.5890

0,80978

1,2348

1.28675

0,2228

0,77714

51

40

0,64278

0,35721

1,5557

0,83909

1,1917

l,30540

0,2339

0,76604

50

41

0,65606

0,34394

1.5242

0,86928

1,1603

1,32501

0,2452

0,76470

49

42

0,66913

0,33086

1,4944

0,90040

1,1106

1,34563

0,2568

0,74314

48

43

0,68199

0.31800

1,4662

0,93251

1,0723

1,36732

0,2686

0,73135

47

44

0,69465

0,30534

1,4395

0,96568

1,0355

1,39016

0,2806

0,71933

46

45

0,70710

0,29289

1,4142

1,00000

1,0000

1,41421

0,2928

0,70710

45

Cosine.

Versin

Secant.

Cotang

Tangt.

Cosecnt.

Covers

Sine.

Degree.

For angles over 45o.

Note : If angle is smaller than 45o use top beadings and read downwards, 11 greater than 45o. use bottom headings and read upwards.

Table LI Natural Sines Etc 200168

If angle C B A = 90° and A C = 1 then:

FOR ANGLE C A B.

Sine

=

CB

Coversine

=

HI

=

GC

Cosecant

=

A F

Tangent

=

K E

Cotangent

=

HF

Secant

=

A K

Versine

=

B E

=

C D

Cosine

=

A B

If angle C A B = A and angle ACB = C; and A + C = 90° ; and A C = c ; CB = a; and A B = b, then :

Sine A

Cosine C

=

a/c

Coversine A

=

Versine C

=

c-a/c

Cosecant A

=

Secant C

=

c/a

Tangent A

=

Cotangent C

=

a/b

Cotangent A

=

Tangent C

=

b/a

Secant A

=

Cosecant C

=

c/b

Versine A

=

Coversine C

=

c - b c

Cosine A

=

Sine C

=

b/c

Table LI Natural Sines Etc 200169