American Electricians' Handbook, Fourteenth Edition

Division 1: FUNDAMENTALS

USEFUL TABLES

1. Natural Trigonometric Functions

Angle ( ? or lag angle), deg

Sine (or reactive factor)

Cosine (or power factor)

Tangent

Cotangent

Secant

Cosecant

Angle ( ? or lag angle), deg

0

1

2

3

4

5

0.00000

0.01774

0.03490

0.05234

0.06976

0.08715

1.00000

0.99985

0.99939

0.99863

0.99756

0.99619

0.00000

0.01745

0.03492

0.05241

0.06993

0.08749

Infinite

57.290

28.636

19.081

14.301

11.430

1.0000

1.0001

1.0006

1.0014

1.0024

1.0038

Infinite

57.299

28.654

19.107

14.335

11.474

180

179

178

177

176

175

6

7

8

9

10

0.10453

0.12187

0.13917

0.15643

0.17365

0.99452

0.99255

0.99027

0.98769

0.98481

0.10510

0.12278

0.14054

0.15838

0.17633

9.5144

8.1443

7.1154

6.3137

5.6713

1.0055

1.0075

1.0098

1.0125

1.0154

9.5668

8.2055

7.1853

6.3924

5.7588

174

173

172

171

170

11

12

13

14

15

0.19081

0.20791

0.22495

0.24192

0.25882

0.98163

0.97815

0.97437

0.97029

0.96592

0.19438

0.21256

0.23087

0.24933

0.26795

5.1445

4.7046

4.3315

4.0108

3.7320

1.0187

1.0223

1.0263

1.0306

1.0353

5.2408

4.8097

4.4454

4.1336

3.8637

169

168

167

166

165

16

17

18

19

20

0.27564

0.29237

0.30902

0.32557

0.34203

0.96126

0.95630

0.95106

0.94552

0.93969

0.28674

0.30573

0.32492

0.34433

0.36397

3.4874

3.2708

3.0777

2.9042

2.7475

1.0403

1.0457

1.0515

1.0576

1.0642

3.6279

3.4203

3.2361

3.0715

2.9238

164

163

162

161

160

21

22

23

24

25

0.35837

0.37461

0.39073

0.40674

0.42262

0.93358

0.92718

0.92050

0.91354

0.90631

0.38386

0.40403

0.42447

0.44523

0.46631

2.6051

2.4751

2.3558

2.2460

2.1445

1.0711

1.0785

1.0864

1.0946

1.1034

2.7904

2.6695

2.5593

2.4586

2.3662

159

158

157

156

155

26

27

28

29

30

0.43837

0.45399

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