Tabel Sin Cos Tan

Easy Way Of Memorizing Values Of Sine Cosine And Tangent

Value of sin, cos, tan, cot at 0, 30, 45, 60, 90 - Trigonometry Table

Last updated at Feb. 27, 2019 by Teachoo

What is value of sin 30?

What about cos 0?

and sin 0?

How do we remember them?

Let's learn how. We will discuss what are different values of sin, cos, tan, cosec, sec, cot at 0, 30, 45, 60 and 90 degrees and how to memorise them.

So, we have to fill this table

How to find the values?

To learn the table, we should first know how sin cos tan are related

We know that

tan θ = sin θ/cosθ
sec θ = 1/cos θ
cosec θ = 1/sin θ
cot θ = 1/cot θ

Now let us discuss different values

For sin

For memorising sin 0°, sin 30°, sin 45°, sin 60° and sin 90°

We should learn it like

sin 0° = 0
sin 30° = 1/2
sin 45° = 1/√2
sin 60° = √3/2
sin 90° = 1

So, our pattern will be like

0, 1/2, 1/√2, √3/2, 1

For cos

For memorising cos 0°, cos 30°, cos 45°, cos 60° and cos 90°

Cos is the opposite of sin.

We should learn it like

cos 0° = sin 90° = 1
cos 30° = sin 60° = √3/2
cos 45° = sin 45° = 1/√2
cos 60° = sin 30° = 1/2
cos 90° = sin 0° = 0

So, for cos, it will be like

1, √3/2, 1/√2, 1/2, 0

For tan

We know that tan θ = sin θ /cos θ

So, it will be

tan 0° = sin 0° / cos 0° = 0/1 = 0
tan 30° = sin 30° / cos 30° = (1/2)/ (√3/2) = 1/√3
tan 45° = sin 45° / cos 45° = (1/√2)/ (1/√2) = 1
tan 60° = sin 60° / cos 60° = (√3/2) / (1/2) = √3
tan 90° = sin 90° / cos 90° = 1/0 = Not Defined = ∞

So, for tan, it is

0, 1/√3, 1, √3, ∞

For cosec

We know that

cosec θ = 1/sin θ

For sin, we know

0, 1/2, 1/√2, √3/2, 1

So, for cosec it will be

cosec 0° = 1 / sin 0° = 1/0 = Not Defined = ∞
cosec 30° = 1 / sin 40° = 1/(1/2) = 2
cosec 45° = 1 / sin 45° = 1/(1/√2) = √2
cosec 60° = 1 / sin 60° = 1/(√3/2) = 2/√3
cosec 90° = 1 / sin 90° = 1/1 = 1

So, for cosec, it is

∞, 2, √2, 2/√3, 1

For sec

We know that

sec θ = 1/cos θ

For cos, we know

1, √3/2, 1/√2, 1/2, 0

So, for sec it will be

sec 0° = 1 / cos 0° = 1/1 = 1
sec 30° = 1 / cos 40° = 1/(√3/2) = 2/√3
sec 45° = 1 / cos 45° = 1/(1/√2) = √2
sec 60° = 1 / cos 60° = 1/(1/2) = 2
sec 90° = 1 / cos 90° = 1/0 = Not Defined = ∞

So, for sec, it is

1, 2/√3, √2, 2, ∞

For cot

We know that

cot θ = 1/tan θ

For tan, we know that

0, 1/√3, 1, √3, ∞

So, for cot it will be

cot 0° = 1 / tan 0° = 1/0 = Not Defined = ∞
cot 30° = 1 / tan 30° = 1/(1/√3) = √3
cot 45° = 1 / tan 45° = 1/1 = 1
cot 60° = 1 / tan 60° = 1/√3
cot 90° = 1 / tan 90° = 1/∞ = 0

So, for cot, it is

∞, √3, 1, 1/√3, 0

So, our full table looks like this

You can also practice questions by clicking Next.

Trigonometry Table

Trigonometry Table has all the values of sin, cos, tan for all angles from 0 to 90 degree.

You can also download it below

Radian	Degree	Sine	Cosine	Tangent	Radian	Degree	Sine	Cosine	Tangent
0.000	0	0.000	1.000	0.000	0.803	46	0.719	0.695	1.036
0.017	1	0.017	1.000	0.017	0.820	47	0.731	0.682	1.072
0.035	2	0.035	0.999	0.035	0.838	48	0.743	0.669	1.111
0.052	3	0.052	0.999	0.052	0.855	49	0.755	0.656	1.150
0.070	4	0.070	0.998	0.070	0.873	50	0.766	0.643	1.192
0.087	5	0.087	0.996	0.087	0.890	51	0.777	0.629	1.235
0.105	6	0.105	0.995	0.105	0.908	52	0.788	0.616	1.280
0.122	7	0.122	0.993	0.123	0.925	53	0.799	0.602	1.327
0.140	8	0.139	0.990	0.141	0.942	54	0.809	0.588	1.376
0.157	9	0.156	0.988	0.158	0.960	55	0.819	0.574	1.428
0.175	10	0.174	0.985	0.176	0.977	56	0.829	0.559	1.483
0.192	11	0.191	0.982	0.194	0.995	57	0.839	0.545	1.540
0.209	12	0.208	0.978	0.213	1.012	58	0.848	0.530	1.600
0.227	13	0.225	0.974	0.231	1.030	59	0.857	0.515	1.664
0.244	14	0.242	0.970	0.249	1.047	60	0.866	0.500	1.732
0.262	15	0.259	0.966	0.268	1.065	61	0.875	0.485	1.804
0.279	16	0.276	0.961	0.287	1.082	62	0.883	0.469	1.881
0.297	17	0.292	0.956	0.306	1.100	63	0.891	0.454	1.963
0.314	18	0.309	0.951	0.325	1.117	64	0.899	0.438	2.050
0.332	19	0.326	0.946	0.344	1.134	65	0.906	0.423	2.145
0.349	20	0.342	0.940	0.364	1.152	66	0.914	0.407	2.246
0.367	21	0.358	0.934	0.384	1.169	67	0.921	0.391	2.356
0.384	22	0.375	0.927	0.404	1.187	68	0.927	0.375	2.475
0.401	23	0.391	0.921	0.424	1.204	69	0.934	0.358	2.605
0.419	24	0.407	0.914	0.445	1.222	70	0.940	0.342	2.747
0.436	25	0.423	0.906	0.466	1.239	71	0.946	0.326	2.904
0.454	26	0.438	0.899	0.488	1.257	72	0.951	0.309	3.078
0.471	27	0.454	0.891	0.510	1.274	73	0.956	0.292	3.271
0.489	28	0.469	0.883	0.532	1.292	74	0.961	0.276	3.487
0.506	29	0.485	0.875	0.554	1.309	75	0.966	0.259	3.732
0.524	30	0.500	0.866	0.577	1.326	76	0.970	0.242	4.011
0.541	31	0.515	0.857	0.601	1.344	77	0.974	0.225	4.331
0.559	32	0.530	0.848	0.625	1.361	78	0.978	0.208	4.705
0.576	33	0.545	0.839	0.649	1.379	79	0.982	0.191	5.145
0.593	34	0.559	0.829	0.675	1.396	80	0.985	0.174	5.671
0.611	35	0.574	0.819	0.700	1.414	81	0.988	0.156	6.314
0.628	36	0.588	0.809	0.727	1.431	82	0.990	0.139	7.115
0.646	37	0.602	0.799	0.754	1.449	83	0.993	0.122	8.144
0.663	38	0.616	0.788	0.781	1.466	84	0.995	0.105	9.514
0.681	39	0.629	0.777	0.810	1.484	85	0.996	0.087	11.430
0.698	40	0.643	0.766	0.839	1.501	86	0.998	0.070	14.301
0.716	41	0.656	0.755	0.869	1.518	87	0.999	0.052	19.081
0.733	42	0.669	0.743	0.900	1.536	88	0.999	0.035	28.636
0.750	43	0.682	0.731	0.933	1.553	89	1.000	0.017	57.290
0.768	44	0.695	0.719	0.966	1.571	90	1.000	0.000	∞
0.785	45	0.707	0.707	1.000