PI
= 3.141592... (approximately 22/7 = 3.1428)
Radians = degrees x PI / 180 (deg to
rad conversion)
Degress = radians x 180 / PI (rad to
deg conversion)
Rad
Deg
Sin
Cos
Tan
Csc
Sec
Cot
.0000
00
.0000
1.0000
.0000
-----
1.0000
-----
90
1.5707
.0175
01
.0175
.9998
.0175
57.2987
1.0002
57.2900
89
1.5533
.0349
02
.0349
.9994
.0349
28.6537
1.0006
28.6363
88
1.5359
.0524
03
.0523
.9986
.0524
19.1073
1.0014
19.0811
87
1.5184
.0698
04
.0698
.9976
.0699
14.3356
1.0024
14.3007
86
1.5010
.0873
05
.0872
.9962
.0875
11.4737
1.0038
11.4301
85
1.4835
.1047
06
.1045
.9945
.1051
9.5668
1.0055
9.5144
84
1.4661
.1222
07
.1219
.9925
.1228
8.2055
1.0075
8.1443
83
1.4486
.1396
08
.1392
.9903
.1405
7.1853
1.0098
7.1154
82
1.4312
.1571
09
.1564
.9877
.1584
6.3925
1.0125
6.3138
81
1.4137
.1745
10
.1736
.9848
.1763
5.7588
1.0154
5.6713
80
1.3953
.1920
11
.1908
.9816
.1944
5.2408
1.0187
5.1446
79
1.3788
.2094
12
.2079
.9781
.2126
4.8097
1.0223
4.7046
78
1.3614
.2269
13
.2250
.9744
.2309
4.4454
1.0263
4.3315
77
1.3439
.2443
14
.2419
.9703
.2493
4.1336
1.0306
4.0108
76
1.3265
.2618
15
.2588
.9659
.2679
3.8637
1.0353
3.7321
75
1.3090
.2793
16
.2756
.9613
.2867
3.6280
1.0403
3.4874
74
1.2915
.2967
17
.2924
.9563
.3057
3.4203
1.0457
3.2709
73
1.2741
.3142
18
.3090
.9511
.3249
3.2361
1.0515
3.0777
72
1.2566
.3316
19
.3256
.9455
.3443
3.0716
1.0576
2.9042
71
1.2392
.3491
20
.3420
.9397
.3640
2.9238
1.0642
2.7475
70
1.2217
.3665
21
.3584
.9336
.3839
2.7904
1.0711
2.6051
69
1.2043
.3840
22
.3746
.9272
.4040
2.6695
1.0785
2.4751
68
1.1868
.4014
23
.3907
.9205
.4245
2.5593
1.0864
2.3559
67
1.1694
.4189
24
.4067
.9135
.4452
2.4586
1.0946
2.2460
66
1.1519
.4363
25
.4226
.9063
.4663
2.3662
1.1034
2.1445
65
1.1345
.4538
26
.4384
.8988
.4877
2.2812
1.1126
2.0503
64
1.1170
.4712
27
.4540
.8910
.5095
2.2027
1.1223
1.9626
63
1.0996
.4887
28
.4695
.8829
.5317
2.1301
1.1326
1.8807
62
1.0821
.5061
29
.4848
.8746
.5543
2.0627
1.1434
1.8040
61
1.0647
.5236
30
.5000
.8660
.5774
2.0000
1.1547
1.7321
60
1.0472
.5411
31
.5150
.8572
.6009
1.9416
1.1666
1.6643
59
1.0297
.5585
32
.5299
.8480
.6249
1.8871
1.1792
1.6003
58
1.0123
.5760
33
.5446
.8387
.6494
1.8361
1.1924
1.5399
57
.9948
.5934
34
.5592
.8290
.6745
1.7883
1.2062
1.4826
56
.9774
.6109
35
.5736
.8192
.7002
1.7434
1.2208
1.4281
55
.9599
.6283
36
.5878
.8090
.7265
1.7013
1.2361
1.3764
54
.9425
.6458
37
.6018
.7986
.7536
1.6616
1.2521
1.3270
53
.9250
.6632
38
.6157
.7880
.7813
1.6243
1.2690
1.2799
52
.9076
.6807
39
.6293
.7771
.8098
1.5890
1.2868
1.2349
51
.8901
.6981
40
.6428
.7660
.8391
1.5557
1.3054
1.1918
50
.8727
.7156
41
.6561
.7547
.8693
1.5243
1.3250
1.1504
49
.8552
.7330
42
.6691
.7431
.9004
1.4945
1.3456
1.1106
48
.8378
.7505
43
.6820
.7314
.9325
1.4663
1.3673
1.0724
47
.8203
.7679
44
.6947
.7193
.9657
1.4396
1.3902
1.0355
46
.8029
.7854
45
.7071
.7071
1.0000
1.4142
1.4142
1.0000
45
.7854
.
.
Cos
Sin
Cot
Sec
Csc
Tan
Deg
Rad
Trigonometric Table of Common Angles
angle (degrees)
0
30
45
60
90
120
135
150
180
210
225
240
270
300
315
330
360 = 0
angle (radians)
0
PI/6
PI/4
PI/3
PI/2
2/3PI
3/4PI
5/6PI
PI
7/6PI
5/4PI
4/3PI
3/2PI
5/3PI
7/4PI
11/6PI
2PI = 0
sin(a)
(0/4)
(1/4)
(2/4)
(3/4)
(4/4)
(3/4)
(2/4)
(1/4)
(0/4)
-(1/4)
-(2/4)
-(3/4)
-(4/4)
-(3/4)
-(2/4)
-(1/4)
(0/4)
cos(a)
(4/4)
(3/4)
(2/4)
(1/4)
(0/4)
-(1/4)
-(2/4)
-(3/4)
-(4/4)
-(3/4)
-(2/4)
-(1/4)
(0/4)
(1/4)
(2/4)
(3/4)
(4/4)
tan(a)
(0/4)
(1/3)
(2/2)
(3/1)
(4/0)
-(3/1)
-(2/2)
-(1/3)
-(0/4)
(1/3)
(2/2)
(3/1)
(4/0)
-(3/1)
-(2/2)
-(1/3)
(0/4)
Those
with a zero in the denominator are undefined. They are included solely to demonstrate
the pattern.