Trigonometry Table

Sine, cosine and tangent for every angle from 0° to 90°, plus the exact radical values for the standard angles 0, 30, 45, 60 and 90 degrees.

Angles listed

0° – 90°

Decimal places

Exact values

90° in radians

π/2

sin 30° is exactly 0.5, sin 45° and cos 45° are both √2/2 ≈ 0.7071, and tan 45° is exactly 1.

Verified August 6, 2026

Trigonometry Table — in full

91 of 91 rows

Highlighted rows are the five standard angles that have exact radical values. tan 90° is undefined.
Angle	Radians	sin	cos	tan
0°	0.000000	0.000000	1.000000	0.000000
1°	0.017453	0.017452	0.999848	0.017455
2°	0.034907	0.034899	0.999391	0.034921
3°	0.052360	0.052336	0.998630	0.052408
4°	0.069813	0.069756	0.997564	0.069927
5°	0.087266	0.087156	0.996195	0.087489
6°	0.104720	0.104528	0.994522	0.105104
7°	0.122173	0.121869	0.992546	0.122785
8°	0.139626	0.139173	0.990268	0.140541
9°	0.157080	0.156434	0.987688	0.158384
10°	0.174533	0.173648	0.984808	0.176327
11°	0.191986	0.190809	0.981627	0.194380
12°	0.209440	0.207912	0.978148	0.212557
13°	0.226893	0.224951	0.974370	0.230868
14°	0.244346	0.241922	0.970296	0.249328
15°	0.261799	0.258819	0.965926	0.267949
16°	0.279253	0.275637	0.961262	0.286745
17°	0.296706	0.292372	0.956305	0.305731
18°	0.314159	0.309017	0.951057	0.324920
19°	0.331613	0.325568	0.945519	0.344328
20°	0.349066	0.342020	0.939693	0.363970
21°	0.366519	0.358368	0.933580	0.383864
22°	0.383972	0.374607	0.927184	0.404026
23°	0.401426	0.390731	0.920505	0.424475
24°	0.418879	0.406737	0.913545	0.445229
25°	0.436332	0.422618	0.906308	0.466308
26°	0.453786	0.438371	0.898794	0.487733
27°	0.471239	0.453990	0.891007	0.509525
28°	0.488692	0.469472	0.882948	0.531709
29°	0.506145	0.484810	0.874620	0.554309
30°	0.523599	0.500000	0.866025	0.577350
31°	0.541052	0.515038	0.857167	0.600861
32°	0.558505	0.529919	0.848048	0.624869
33°	0.575959	0.544639	0.838671	0.649408
34°	0.593412	0.559193	0.829038	0.674509
35°	0.610865	0.573576	0.819152	0.700208
36°	0.628319	0.587785	0.809017	0.726543
37°	0.645772	0.601815	0.798636	0.753554
38°	0.663225	0.615661	0.788011	0.781286
39°	0.680678	0.629320	0.777146	0.809784
40°	0.698132	0.642788	0.766044	0.839100
41°	0.715585	0.656059	0.754710	0.869287
42°	0.733038	0.669131	0.743145	0.900404
43°	0.750492	0.681998	0.731354	0.932515
44°	0.767945	0.694658	0.719340	0.965689
45°	0.785398	0.707107	0.707107	1.000000
46°	0.802851	0.719340	0.694658	1.035530
47°	0.820305	0.731354	0.681998	1.072369
48°	0.837758	0.743145	0.669131	1.110613
49°	0.855211	0.754710	0.656059	1.150368
50°	0.872665	0.766044	0.642788	1.191754
51°	0.890118	0.777146	0.629320	1.234897
52°	0.907571	0.788011	0.615661	1.279942
53°	0.925025	0.798636	0.601815	1.327045
54°	0.942478	0.809017	0.587785	1.376382
55°	0.959931	0.819152	0.573576	1.428148
56°	0.977384	0.829038	0.559193	1.482561
57°	0.994838	0.838671	0.544639	1.539865
58°	1.012291	0.848048	0.529919	1.600335
59°	1.029744	0.857167	0.515038	1.664279
60°	1.047198	0.866025	0.500000	1.732051
61°	1.064651	0.874620	0.484810	1.804048
62°	1.082104	0.882948	0.469472	1.880726
63°	1.099557	0.891007	0.453990	1.962611
64°	1.117011	0.898794	0.438371	2.050304
65°	1.134464	0.906308	0.422618	2.144507
66°	1.151917	0.913545	0.406737	2.246037
67°	1.169371	0.920505	0.390731	2.355852
68°	1.186824	0.927184	0.374607	2.475087
69°	1.204277	0.933580	0.358368	2.605089
70°	1.221730	0.939693	0.342020	2.747477
71°	1.239184	0.945519	0.325568	2.904211
72°	1.256637	0.951057	0.309017	3.077684
73°	1.274090	0.956305	0.292372	3.270853
74°	1.291544	0.961262	0.275637	3.487414
75°	1.308997	0.965926	0.258819	3.732051
76°	1.326450	0.970296	0.241922	4.010781
77°	1.343904	0.974370	0.224951	4.331476
78°	1.361357	0.978148	0.207912	4.704630
79°	1.378810	0.981627	0.190809	5.144554
80°	1.396263	0.984808	0.173648	5.671282
81°	1.413717	0.987688	0.156434	6.313752
82°	1.431170	0.990268	0.139173	7.115370
83°	1.448623	0.992546	0.121869	8.144346
84°	1.466077	0.994522	0.104528	9.514364
85°	1.483530	0.996195	0.087156	11.430052
86°	1.500983	0.997564	0.069756	14.300666
87°	1.518436	0.998630	0.052336	19.081137
88°	1.535890	0.999391	0.034899	28.636253
89°	1.553343	0.999848	0.017452	57.289962
90°	1.570796	1.000000	0.000000	—

How to read this table

Find the row for your angle in degrees. The three right-hand columns are its sine, cosine and tangent — all ratios, so they carry no unit.

In a right triangle: sine is opposite over hypotenuse, cosine is adjacent over hypotenuse, tangent is opposite over adjacent.

For angles beyond 90° use the symmetries: sin(180° − x) = sin x and cos(180° − x) = −cos x. That lets this table cover the whole circle.

Exact values of the standard angles

For five angles the function values can be written as closed-form radicals. These values are exact — the decimals in the big table are only their rounded form.

Angle	Radians	sin	cos	tan
0°	0	0	1	0
30°	π/6	1/2	√3/2	√3/3
45°	π/4	√2/2	√2/2	1
60°	π/3	√3/2	1/2	√3
90°	π/2	1	0	—

Sine and cosine from 0° to 90°

Hover the chart to read the precise values.

The two curves are mirror images: cos x equals sin (90° − x). They cross at 45°, where both equal √2/2.

The √n/2 pattern of the sine

Hover the chart to read the precise values.

For 0°, 30°, 45°, 60° and 90° the sine is exactly √0/2, √1/2, √2/2, √3/2 and √4/2. That pattern makes the standard angles easy to memorise.

How the sine values spread out

Hover the chart to read the precise values.

Far more angles land near 1 than near 0: the sine barely changes close to 90°, so many degrees crowd into a narrow band of values there.

How this table is built

Computed, not transcribed

Decimal columns come from the standard library trigonometric functions applied to the angle in radians and rounded to six places. The exact column shows the closed-form radical value, which is a definition rather than a measurement.

Sources & verification

NIST Digital Library of Mathematical Functions — Trigonometric functions

Last checked against the sources on August 6, 2026.

Matching calculators

Triangle Area Calculator

Run the numbers yourself

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Frequently asked questions

What is sin 30°?

Exactly 0.5. It is one of the few values that can be written as a simple fraction — it follows from halving an equilateral triangle.

Why are sin 45° and cos 45° equal?

Because a right triangle with a 45° angle is isosceles: the opposite and adjacent sides have the same length. Both values are √2/2, roughly 0.7071.

Why is tan 90° undefined?

The tangent is sine divided by cosine. At 90° the cosine is zero, and division by zero has no result. The values grow without bound just before it.

How do I convert degrees to radians?

Multiply the angle by π/180. That turns 90° into π/2 and 180° into π. The radians column of this table is computed exactly that way.

How do I memorise the standard angles?

Through the radical pattern: sin 0°, 30°, 45°, 60°, 90° are √0/2, √1/2, √2/2, √3/2 and √4/2. The cosine is the same sequence read backwards.

How precise are the decimal values here?

They are rounded to 6 decimal places, which is more than enough for drawings, schoolwork and navigation. The exact expressions for the standard angles are in the second table.

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Trigonometry Table

Sine, cosine and tangent for every angle from 0° to 90°, plus the exact radical values for the standard angles 0, 30, 45, 60 and 90 degrees.

Angles listed

0° – 90°

Decimal places

Exact values

90° in radians

π/2

sin 30° is exactly 0.5, sin 45° and cos 45° are both √2/2 ≈ 0.7071, and tan 45° is exactly 1.

Verified August 6, 2026

Trigonometry Table — in full

91 of 91 rows

Highlighted rows are the five standard angles that have exact radical values. tan 90° is undefined.
Angle	Radians	sin	cos	tan
0°	0.000000	0.000000	1.000000	0.000000
1°	0.017453	0.017452	0.999848	0.017455
2°	0.034907	0.034899	0.999391	0.034921
3°	0.052360	0.052336	0.998630	0.052408
4°	0.069813	0.069756	0.997564	0.069927
5°	0.087266	0.087156	0.996195	0.087489
6°	0.104720	0.104528	0.994522	0.105104
7°	0.122173	0.121869	0.992546	0.122785
8°	0.139626	0.139173	0.990268	0.140541
9°	0.157080	0.156434	0.987688	0.158384
10°	0.174533	0.173648	0.984808	0.176327
11°	0.191986	0.190809	0.981627	0.194380
12°	0.209440	0.207912	0.978148	0.212557
13°	0.226893	0.224951	0.974370	0.230868
14°	0.244346	0.241922	0.970296	0.249328
15°	0.261799	0.258819	0.965926	0.267949
16°	0.279253	0.275637	0.961262	0.286745
17°	0.296706	0.292372	0.956305	0.305731
18°	0.314159	0.309017	0.951057	0.324920
19°	0.331613	0.325568	0.945519	0.344328
20°	0.349066	0.342020	0.939693	0.363970
21°	0.366519	0.358368	0.933580	0.383864
22°	0.383972	0.374607	0.927184	0.404026
23°	0.401426	0.390731	0.920505	0.424475
24°	0.418879	0.406737	0.913545	0.445229
25°	0.436332	0.422618	0.906308	0.466308
26°	0.453786	0.438371	0.898794	0.487733
27°	0.471239	0.453990	0.891007	0.509525
28°	0.488692	0.469472	0.882948	0.531709
29°	0.506145	0.484810	0.874620	0.554309
30°	0.523599	0.500000	0.866025	0.577350
31°	0.541052	0.515038	0.857167	0.600861
32°	0.558505	0.529919	0.848048	0.624869
33°	0.575959	0.544639	0.838671	0.649408
34°	0.593412	0.559193	0.829038	0.674509
35°	0.610865	0.573576	0.819152	0.700208
36°	0.628319	0.587785	0.809017	0.726543
37°	0.645772	0.601815	0.798636	0.753554
38°	0.663225	0.615661	0.788011	0.781286
39°	0.680678	0.629320	0.777146	0.809784
40°	0.698132	0.642788	0.766044	0.839100
41°	0.715585	0.656059	0.754710	0.869287
42°	0.733038	0.669131	0.743145	0.900404
43°	0.750492	0.681998	0.731354	0.932515
44°	0.767945	0.694658	0.719340	0.965689
45°	0.785398	0.707107	0.707107	1.000000
46°	0.802851	0.719340	0.694658	1.035530
47°	0.820305	0.731354	0.681998	1.072369
48°	0.837758	0.743145	0.669131	1.110613
49°	0.855211	0.754710	0.656059	1.150368
50°	0.872665	0.766044	0.642788	1.191754
51°	0.890118	0.777146	0.629320	1.234897
52°	0.907571	0.788011	0.615661	1.279942
53°	0.925025	0.798636	0.601815	1.327045
54°	0.942478	0.809017	0.587785	1.376382
55°	0.959931	0.819152	0.573576	1.428148
56°	0.977384	0.829038	0.559193	1.482561
57°	0.994838	0.838671	0.544639	1.539865
58°	1.012291	0.848048	0.529919	1.600335
59°	1.029744	0.857167	0.515038	1.664279
60°	1.047198	0.866025	0.500000	1.732051
61°	1.064651	0.874620	0.484810	1.804048
62°	1.082104	0.882948	0.469472	1.880726
63°	1.099557	0.891007	0.453990	1.962611
64°	1.117011	0.898794	0.438371	2.050304
65°	1.134464	0.906308	0.422618	2.144507
66°	1.151917	0.913545	0.406737	2.246037
67°	1.169371	0.920505	0.390731	2.355852
68°	1.186824	0.927184	0.374607	2.475087
69°	1.204277	0.933580	0.358368	2.605089
70°	1.221730	0.939693	0.342020	2.747477
71°	1.239184	0.945519	0.325568	2.904211
72°	1.256637	0.951057	0.309017	3.077684
73°	1.274090	0.956305	0.292372	3.270853
74°	1.291544	0.961262	0.275637	3.487414
75°	1.308997	0.965926	0.258819	3.732051
76°	1.326450	0.970296	0.241922	4.010781
77°	1.343904	0.974370	0.224951	4.331476
78°	1.361357	0.978148	0.207912	4.704630
79°	1.378810	0.981627	0.190809	5.144554
80°	1.396263	0.984808	0.173648	5.671282
81°	1.413717	0.987688	0.156434	6.313752
82°	1.431170	0.990268	0.139173	7.115370
83°	1.448623	0.992546	0.121869	8.144346
84°	1.466077	0.994522	0.104528	9.514364
85°	1.483530	0.996195	0.087156	11.430052
86°	1.500983	0.997564	0.069756	14.300666
87°	1.518436	0.998630	0.052336	19.081137
88°	1.535890	0.999391	0.034899	28.636253
89°	1.553343	0.999848	0.017452	57.289962
90°	1.570796	1.000000	0.000000	—

How to read this table

Find the row for your angle in degrees. The three right-hand columns are its sine, cosine and tangent — all ratios, so they carry no unit.

In a right triangle: sine is opposite over hypotenuse, cosine is adjacent over hypotenuse, tangent is opposite over adjacent.

For angles beyond 90° use the symmetries: sin(180° − x) = sin x and cos(180° − x) = −cos x. That lets this table cover the whole circle.

Angle

Radians

sin

cos

tan

0°

30°

π/6

1/2

√3/2

√3/3

45°

π/4

√2/2

60°

π/3

√3/2

1/2

√3

90°

π/2

—

Frequently asked questions

What is sin 30°?

Exactly 0.5. It is one of the few values that can be written as a simple fraction — it follows from halving an equilateral triangle.

Why are sin 45° and cos 45° equal?

Because a right triangle with a 45° angle is isosceles: the opposite and adjacent sides have the same length. Both values are √2/2, roughly 0.7071.

Why is tan 90° undefined?

The tangent is sine divided by cosine. At 90° the cosine is zero, and division by zero has no result. The values grow without bound just before it.

How do I convert degrees to radians?

Multiply the angle by π/180. That turns 90° into π/2 and 180° into π. The radians column of this table is computed exactly that way.

How do I memorise the standard angles?

Through the radical pattern: sin 0°, 30°, 45°, 60°, 90° are √0/2, √1/2, √2/2, √3/2 and √4/2. The cosine is the same sequence read backwards.

How precise are the decimal values here?

They are rounded to 6 decimal places, which is more than enough for drawings, schoolwork and navigation. The exact expressions for the standard angles are in the second table.

Trigonometry Table

Trigonometry Table — in full

How to read this table

Exact values of the standard angles

Sine and cosine from 0° to 90°

The √n/2 pattern of the sine

How the sine values spread out

How this table is built

Sources & verification

Matching calculators

Triangle Area Calculator

Angle Conversions

More reference tables

Multiplication Table

Squares, Cubes and Roots Table

Prime Numbers Table

Mathematical Constants

ASCII Table

Powers of 2 Table

Frequently asked questions

Browse every reference table

Trigonometry Table

Trigonometry Table — in full

How to read this table

Exact values of the standard angles

Sine and cosine from 0° to 90°

The √n/2 pattern of the sine

How the sine values spread out

How this table is built

Sources & verification

Matching calculators

Triangle Area Calculator

Angle Conversions

More reference tables

Multiplication Table

Squares, Cubes and Roots Table

Prime Numbers Table

Mathematical Constants

ASCII Table

Powers of 2 Table

Frequently asked questions

Browse every reference table