16. 三角函数

关于正弦函数(sin)和余弦函数(cos),正切函数(tan),余割函数(cos),正割函数(sec),余切函数(cot),表示了在0~90度时的值。

θ゜ θ(rad) sinθ cosθ tanθ cosecθ secθ cotθ

0

0.0000

0

1.0000

0

1.0000

1

0.0175

0.0175

0.9998

0.0175

57.3066

1.0002

57.3008

2

0.0349

0.0349

0.9994

0.0349

28.6533

1.0006

28.6334

3

0.0524

0.0523

0.9986

0.0524

19.1058

1.0014

19.0811

4

0.0698

0.0698

0.9976

0.0699

14.3349

1.0024

14.3013

5

0.0873

0.0872

0.9962

0.0875

11.4732

1.0038

11.4296

6

0.1047

0.1045

0.9945

0.1051

9.5666

1.0055

9.5143

7

0.1222

0.1219

0.9925

0.1228

8.2055

1.0075

8.1446

8

0.1396

0.1392

0.9903

0.1405

7.1855

1.0098

7.1152

9

0.1571

0.1564

0.9877

0.1584

6.3926

1.0125

6.3137

10

0.1745

0.1737

0.9848

0.1763

5.7587

1.0154

5.6714

11

0.1920

0.1908

0.9816

0.1944

5.2408

1.0187

5.1445

12

0.2094

0.2079

0.9781

0.2126

4.8098

1.0223

4.7046

13

0.2269

0.2250

0.9744

0.2309

4.4454

1.0263

4.3315

14

0.2444

0.2419

0.9703

0.2493

4.1336

1.0306

4.0107

15

0.2618

0.2588

0.9659

0.2679

3.8637

1.0353

3.7320

16

0.2793

0.2756

0.9613

0.2867

3.6279

1.0403

3.4874

17

0.2967

0.2924

0.9563

0.3057

3.4203

1.0457

3.2708

18

0.3142

0.3090

0.9511

0.3249

3.2360

1.0515

3.0777

19

0.3316

0.3256

0.9455

0.3443

3.0715

1.0576

2.9042

20

0.3491

0.3420

0.9397

0.3640

2.9238

1.0642

2.7474

21

0.3665

0.3584

0.9336

0.3839

2.7904

1.0711

2.6051

22

0.3840

0.3746

0.9272

0.4040

2.6694

1.0785

2.4751

23

0.4014

0.3907

0.9205

0.4245

2.5593

1.0864

2.3558

24

0.4189

0.4067

0.9135

0.4452

2.4586

1.0946

2.2460

25

0.4363

0.4226

0.9063

0.4663

2.3662

1.1034

2.1445

26

0.4538

0.4384

0.8988

0.4877

2.2812

1.1126

2.0503

27

0.4712

0.4540

0.8910

0.5095

2.2027

1.1223

1.9626

28

0.4887

0.4695

0.8829

0.5317

2.1301

1.1326

1.8807

29

0.5062

0.4848

0.8746

0.5543

2.0627

1.1434

1.8040

30

0.5236

0.5000

0.8660

0.5774

2.0000

1.1547

1.7320

31

0.5411

0.5150

0.8572

0.6009

1.9416

1.1666

1.6643

32

0.5585

0.5299

0.8480

0.6249

1.8871

1.1792

1.6003

33

0.5760

0.5446

0.8387

0.6494

1.8361

1.1924

1.5399

34

0.5934

0.5592

0.8290

0.6745

1.7883

1.2062

1.4826

35

0.6109

0.5736

0.8191

0.7002

1.7434

1.2208

1.4281

36

0.6283

0.5878

0.8090

0.7265

1.7013

1.2361

1.3764

37

0.6458

0.6018

0.7986

0.7536

1.6616

1.2521

1.3270

38

0.6632

0.6157

0.7880

0.7813

1.6243

1.2690

1.2799

39

0.6807

0.6293

0.7771

0.8098

1.5890

1.2868

1.2349

40

0.6981

0.6428

0.7660

0.8391

1.5557

1.3054

1.1918

41

0.7156

0.6561

0.7547

0.8693

1.5243

1.3250

1.1504

42

0.7330

0.6691

0.7431

0.9004

1.4945

1.3456

1.1106

43

0.7505

0.6820

0.7314

0.9325

1.4663

1.3673

1.0724

44

0.7679

0.6947

0.7193

0.9657

1.4396

1.3902

1.0355

45

0.7854

0.7071

0.7071

1.0000

1.4142

1.4142

1.0000

46

0.8029

0.7193

0.6947

1.0355

1.3902

1.4396

0.9657

47

0.8203

0.7314

0.6820

1.0724

1.3673

1.4663

0.9325

48

0.8378

0.7431

0.6691

1.1106

1.3456

1.4945

0.9004

49

0.8552

0.7547

0.6561

1.1504

1.3250

1.5243

0.8693

50

0.8727

0.7660

0.6428

1.1917

1.3054

1.5557

0.8391

51

0.8901

0.7771

0.6293

1.2349

1.2868

1.5890

0.8098

52

0.9076

0.7880

0.6156

1.2800

1.2690

1.6243

0.7812

53

0.9250

0.7986

0.6018

1.3270

1.2521

1.6616

0.7536

54

0.9245

0.8090

0.5878

1.3764

1.2361

1.7013

0.7265

55

0.9599

0.8192

0.5736

1.4281

1.2208

1.7434

0.7002

56

0.9774

0.8290

0.5592

1.4825

1.2062

1.7883

0.6745

57

0.9948

0.8387

0.5446

1.5399

1.1924

1.8361

0.6494

58

1.0123

0.8480

0.5299

1.6003

1.1792

1.8871

0.6249

59

1.0297

0.8572

0.5150

1.6643

1.1666

1.9416

0.6009

60

1.0472

0.8660

0.5000

1.7321

1.1547

2.0000

0.5773

61

1.0647

0.8746

0.4848

1.8040

1.1434

2.0627

0.5543

62

1.0821

0.8829

0.4695

1.8807

1.1326

2.1300

0.5317

63

1.0996

0.8910

0.4540

1.9626

1.1223

2.2027

0.5095

64

1.1170

0.8988

0.4384

2.0503

1.1126

2.2812

0.4877

65

1.1345

0.9063

0.4226

2.1447

1.1034

2.3664

0.4663

66

1.1519

0.9135

0.4067

2.2461

1.0946

2.4586

0.4452

67

1.1694

0.9205

0.3907

2.3560

1.0863

2.5595

0.4244

68

1.1868

0.9272

0.3746

2.4751

1.0785

2.6694

0.4040

69

1.2043

0.9336

0.3584

2.6051

1.0711

2.7904

0.3839

70

1.2217

0.9397

0.3420

2.7475

1.0642

2.9238

0.3640

71

1.2392

0.9455

0.3256

2.9042

1.0576

3.0715

0.3443

72

1.2566

0.9511

0.3090

3.0777

1.0515

3.2361

0.3249

73

1.2741

0.9563

0.2924

3.2710

1.0457

3.4204

0.3057

74

1.2915

0.9613

0.2756

3.4874

1.0403

3.6279

0.2867

75

1.3090

0.9659

0.2588

3.7321

1.0353

3.8637

0.2679

76

1.3265

0.9703

0.2419

4.0108

1.0306

4.1336

0.2493

77

1.3439

0.9744

0.2250

4.3314

1.0263

4.4453

0.2309

78

1.3614

0.9781

0.2079

4.7047

1.0223

4.8098

0.2126

79

1.3788

0.9816

0.1908

5.1446

1.0187

5.2408

0.1944

80

1.3963

0.9848

0.1737

5.6712

1.0154

5.7587

0.1763

81

1.4137

0.9877

0.1564

6.3139

1.0125

6.3926

0.1584

82

1.4312

0.9903

0.1392

7.1154

1.0098

7.1853

0.1405

83

1.4486

0.9925

0.1219

8.1441

1.0075

8.2053

0.1228

84

1.4661

0.9945

0.1045

9.5147

1.0055

9.5671

0.1051

85

1.4835

0.9962

0.0872

11.4301

1.0038

11.4737

0.0875

86

1.5010

0.9976

0.0698

14.3000

1.0024

14.3349

0.0699

87

1.5184

0.9986

0.0523

19.0824

1.0014

19.1086

0.0524

88

1.5359

0.9994

0.0349

28.6365

1.0006

28.6539

0.0349

89

1.5533

0.9998

0.0175

57.2800

1.0002

57.2887

0.0175

90

1.5708

1.0000

0

1.0000

0