Table values \u200b\u200bof trigonometric functions

Table of values \u200b\u200bof trigonometric functions is composed for angles at 0, 30, 45, 60, 90, 180, 270 and 360 degrees and corresponding to the values \u200b\u200bof the angles of the Vradians. From trigonometric functions The table shows the sinus, cosine, tangent, catangent, sessions and sosenes. For the convenience of solving school examples, the values \u200b\u200bof trigonometric functions in the table are recorded in the form of a fraction while maintaining the signs of extraction of the root of square from numbers, which very often helps to reduce complex mathematical expressions. For Tangent and Cotangence, certain angles can not be defined. For the values \u200b\u200bof Tangent and Cotangence of such angles in the table of values \u200b\u200bof trigonometric functions, it is worthwhile. It is believed that Tangent and Kotangenes such corners equals infinity. On a separate page there are formulas for bringing trigonometric functions.

The table of values \u200b\u200bfor the trigonometric function of the sinus are values \u200b\u200bfor the following angles: SIN 0, SIN 30, SIN 45, SIN 60, SIN 90, SIN 180, SIN 270, SIN 360 to degree, which corresponds to SIN 0 PI, SIN PI / 6 , SIN PI / 4, SIN PI / 3, SIN PI / 2, SIN PI, SIN 3 PI / 2, SIN 2 PI into radical angles. Sinus school table.

For the trigonometric function of the cosine in the table shows the values \u200b\u200bfor the following angles: COS 0, COS 30, COS 45, COS 60, COS 90, COS 180, COS 270, COS 360 to degree, which corresponds to COS 0 PI, COS pi by 6, Cos Pi by 4, Cos pi 3, Cos Pi at 2, Cos Pi, COS 3 PI on 2, COS 2 PI into radical angles. School table of cosine.

Trigonometric table for trigonometric functions Tangent gives values \u200b\u200bfor the following angles: TG 0, TG 30, TG 45, TG 60, TG 180, TG 360 to degree, which corresponds to TG 0 PI, TG PI / 6, TG PI / 4, TG PI / 3, TG PI, TG 2 PI in radical angles. The following values \u200b\u200bof trigonometric functions of the tangent are not defined by TG 90, TG 270, TG P P Pile / 2, TG 3 PI / 2 and are considered equal infinity.

For the trigonometric function of the Cotangent in the trigonometric table, the values \u200b\u200bof the following angles are given: CTG 30, CTG 45, CTG 60, CTG 90, CTG 270 to degree, which corresponds to CTG PI / 6, CTG PI / 4, CTG PI / 3, TG PI / 2, TG 3 PI / 2 into radical angles. The following values \u200b\u200bof the trigonometric functions of the catangent are not defined by CTG 0, CTG 180, CTG 360, CTG 0 PI, CTG PI, CTG 2 PI and are considered equal infinity.

The values \u200b\u200bof trigonometric functions are sessions and sinovans are given for the same corners in degrees and radians as sinus, cosine, tangent, catangent.

The table of values \u200b\u200bof trigonometric functions of non-standard angles are given the values \u200b\u200bof sinus, cosine, tangent and catangent for angles in degrees 15, 18, 22,5, 36, 54, 67.5 72 degrees and in radians PI / 12, PI / 10, PI / 8, PI / 5, 3PI / 8, 2P / 5 radians. The values \u200b\u200bof trigonometric functions are expressed through fractions and square roots to simplify the reduction of fractions in school examples.

Three more monster trigonometry. The first is a tangent 1.5 and a half degrees or Pi divided by 120. The second - cosine of Pi divided by 240, PI / 240. The longest - cosine of Pi divided by 17, Pi / 17.

The trigonometric circle of the values \u200b\u200bof the functions of sine and cosine is clearly represents the signs of sinus and cosine, depending on the magnitude of the angle. Especially for blondes, the cosine values \u200b\u200bare underlined by a green dash, so that it is less fed. The transfer of degrees into radians is also very clearly represented when radians are expressed in Pi.

This trigonometric table represents the values \u200b\u200bof sinus, cosine, tangent and catangent for angles from 0 zero to 90 ninety degrees with an interval through one degree. For the first forty-five degrees, the name of the trigonometric functions must be viewed at the top of the table. In the first column, degrees, sinus, cosine values, tangents and catangers are recorded in the following four columns.

For angles from forty-five degrees to the ninety degrees, the names of the trigonometric functions are recorded at the bottom of the table. The last column shows degrees, cosine values, sinuses, catangents and tangents are recorded in the previous four columns. It should be attentive because at the bottom of the trigonometric table, the names of trigonometric functions differ from the titles at the top of the table. Sinuses and cosines are changing in places, just like Tangent and Kotangenes. This is due to the symmetry of the values \u200b\u200bof trigonometric functions.

The signs of trigonometric functions are presented in the figure above. Sinus has positive values \u200b\u200bfrom 0 to 180 degrees or from 0 to pi. Negative sinus values \u200b\u200bhave from 180 to 360 degrees or from pi to 2 pi. The cosine values \u200b\u200bare positive from 0 to 90 and from 270 to 360 degrees or from 0 to 1/2 PI and from 3/2 to 2 pi. Tangent and Kotangenes have positive values \u200b\u200bfrom 0 to 90 degrees and from 180 to 270 degrees, which corresponds to values \u200b\u200bfrom 0 to 1/2 pi and from pi to 3/2 pi. The negative values \u200b\u200bof Tangent and Kotangenes have from 90 to 180 degrees and from 270 to 360 degrees or from 1/2 pi to PI and from 3/2 pi to 2 pi. When determining the signs of trigonometric functions for corners, more than 360 degrees or 2 pi should use the properties of the frequency of these functions.

Trigonometric functions of sinus, tangent and Kotangenes are odd functions. The values \u200b\u200bof these functions for negative angles will be negative. Cosine is an even trigonometric function - the cosine value for a negative angle will be positive. When multiplying and dividing trigonometric functions, you must follow the rules of signs.

1. The table of values \u200b\u200bfor the trigonometric function of the sinus are values \u200b\u200bfor the following angles.

   Document

   Separate page are formulas trigonometricfunctions. IN tablevaluesfortrigonometricfunctionssinuspostedvaluesfornextcorners: sin 0, sin 30, sin 45 ...

2. The proposed mathematical apparatus is a complete analogue of a comprehensive calculation for n-dimensional hypercomplex numbers with any number of degrees of freedom N and is intended for mathematical modeling of nonlinear

   Document

   ... functions equally functions Images. From this theorem follow, what for find the coordinates u, v enough to calculate function ... geometry; Poliberian functions (multidimensional analogs of two-dimensional trigonometricfunctions), their properties, tables and application; ...

3. Tables of sinus values \u200b\u200b(SIN), cosinees (COS), Tangents (TG), Kotangents (CTG) is a powerful and useful tool that helps solve many tasks, both a theoretical and applied character. In this article, we present the table of the main trigonometric functions (sines, cosine, tangents and catangents) for angles 0, 30, 45, 60, 90, ..., 360 degrees (0, π 6, π 3, π 2 ,.. ., 2 π radians). Separate bradyss tables for sinuses and cosinees, tangents and catangers with explanation will also be shown, how to use them to find the values \u200b\u200bof the main trigonometric functions.

   Table of basic trigonometric functions for angles 0, 30, 45, 60, 90, ..., 360 degrees

   Based on the definitions of sinus, cosine, tangent and catangent, you can find the values \u200b\u200bof these functions for the angles 0 and 90 degrees

   sin 0 \u003d 0, cos 0 \u003d 1, t g 0 \u003d 0, scratch catangent - not defined,

   sIN 90 ° \u003d 1, COS 90 ° \u003d 0, C T G 90 ° \u003d 0, TANGENS The degree of degree is not defined.

   The values \u200b\u200bof sinuses, cosine, tangents and catangers are in the course of geometry are defined as the ratios of the sides of the rectangular triangle, the angles of which are equal to 30, 60 and 90 degrees, and also 45, 45 and 90 degrees.

   Determination of trigonometric funkuits for acute angle in a rectangular triangle

   Sinus - The ratio of the opposite catech for hypotenuse.

   Cosine - The ratio of the adjacent catech for hypotenuse.

   Tangent - the ratio of the opposite catech to the adjacent one.

   Cotangent - The ratio of the adjacent catech to the opposite.

   In accordance with the definitions there are values \u200b\u200bof functions:

   sIN 30 ° \u003d 1 2, COS 30 ° \u003d 3 2, TG 30 ° \u003d 3 3, CTG 30 ° \u003d 3, SIN 45 ° \u003d 2 2, COS 45 ° \u003d 2 2, TG 45 ° \u003d 1, CTG 45 ° \u003d 1, SIN 60 ° \u003d 3 2, COS 45 ° \u003d 1 2, TG 45 ° \u003d 3, CTG 45 ° \u003d 3 3.

   We reduce these values \u200b\u200binto the table and call it the table of the main values \u200b\u200bof sinus, cosine, tangent and catangent.

   Table of the main values \u200b\u200bof sinuses, cosine, tangents and catangers

   α °	0	30	45	60	90
   SIN α.	0	1 2	2 2	3 2	1
   COS α.	1	3 2	2 2	1 2	0
   T G α.	0	3 3	1	3	not determined
   C T G α	not determined	3	1	3 3	0
   α, r and d and a n	0	π 6.	π 4.	π 3.	π 2.

   One of the important properties of trigonometric functions is frequency. Based on this property, this table can be expanded using the formula of bringing. Below will submit an extended table of values \u200b\u200bof the main trigonometric functions for angles 0, 30, 60, ..., 120, 135, 150, 180, ..., 360 degrees (0, π 6, π 3, π 2 ,...., 2 π radians).

   Sinus table, cosine, tangents and catangers

   α °	0	30	45	60	90	120	135	150	180	210	225	240	270	300	315	330	360
   SIN α.	0	1 2	2 2	3 2	1	3 2	2 2	1 2	0	- 1 2	- 2 2	- 3 2	- 1	- 3 2	- 2 2	- 1 2	0
   COS α.	1	3 2	2 2	1 2	0	- 1 2	- 2 2	- 3 2	- 1	- 3 2	- 2 2	- 1 2	0	1 2	2 2	3 2	1
   T G α.	0	3 3	1	3	-	- 1	- 3 3	0	0	3 3	1	3	-	- 3	- 1		0
   C T G α	-	3	1	3 3	0	- 3 3	- 1	- 3	-	3	1	3 3	0	- 3 3	- 1	- 3	-
   α, r and d and a n	0	π 6.	π 4.	π 3.	π 2.	2 π 3.	3 π 4.	5 π 6.	π	7 π 6.	5 π 4.	4 π 3.	3 π 2.	5 π 3.	7 π 4.	11 π 6.	2 π.

   The frequency of sinus, cosine, tangent and Kotangent allows you to expand this table to an arbitrarily large corner values. The values \u200b\u200bcollected in the table are used when solving tasks most often, so they are recommended to learn by heart.

   How to use the table of the main values \u200b\u200bof trigonometric functions

   The principle of use of the table of sinus values, cosinees, tangents and catangers is clear at an intuitive level. The crossing of the row and column gives the value of the function for a specific angle.

   Example. How to use a sinus table, cosine, tangents and catangers

   Need to know what is equal to sin 7 π 6

   We find in the table column, the value of the last cell of which is 7 π 6 radians - the same as 210 degrees. Then select a table of a table in which the sinus values \u200b\u200bare presented. At the intersection of the string and column, we find the desired value:

   sIN 7 π 6 \u003d - 1 2

   Brady's tables

   The Bradys table allows calculating the value of sinus, cosine, tangent or catangent with an accuracy of 4 characters after the comma without the use of computing technology. This is a kind of replacement engineering calculator.

   reference

   Vladimir Modestovich Brandis (1890 - 1975) - Soviet mathematician-teacher, since 1954, a corresponding member of the APN of the USSR. Tables of four-digit logarithms and natural trigonometric values \u200b\u200bdeveloped by Braradis, first reached in 1921.

   First we give the brady's table for sinuses and cosine. It allows you to accurately calculate the approximate values \u200b\u200bof these functions for angles containing a number of degrees and minutes. In the extreme left column, the tables are presented degrees, and in the top row - minutes. Note that all the values \u200b\u200bof the corners of the Bradys table are more than six minutes.

   Bradys table for sinuses and cosine

   sin.	0"	6"	12"	18"	24"	30"	36"	42"	48"	54"	60"	cos.	1"	2"	3"
   											0.0000	90 °
   0°	0.0000	0017	0035	0052	0070	0087	0105	0122	0140	0157	0175	89 °	3	6	9
   1 °	0175	0192	0209	0227	0244	0262	0279	0297	0314	0332	0349	88 °	3	6	9
   2 °	0349	0366	0384	0401	0419	0436	0454	0471	0488	0506	0523	87 °	3	6	9
   3 °	0523	0541	0558	0576	0593	0610	0628	0645	0663	0680	0698	86 °	3	6	9
   4 °	0698	0715	0732	0750	0767	0785	0802	0819	0837	0854	0.0872	85 °	3	6	9
   5 °	0.0872	0889	0906	0924	0941	0958	0976	0993	1011	1028	1045	84 °	3	6	9
   6 °	1045	1063	1080	1097	1115	1132	1149	1167	1184	1201	1219	83 °	3	6	9
   7 °	1219	1236	1253	1271	1288	1305	1323	1340	1357	1374	1392	82 °	3	6	9
   8 °	1392	1409	1426	1444	1461	1478	1495	1513	1530	1547	1564	81 °	3	6	9
   9 °	1564	1582	1599	1616	1633	1650	1668	1685	1702	1719	0.1736	80 °	3	6	9
   10 °	0.1736	1754	1771	1788	1805	1822	1840	1857	1874	1891	1908	79 °	3	6	9
   11 °	1908	1925	1942	1959	1977	1994	2011	2028	2045	2062	2079	78 °	3	6	9
   12 °	2079	2096	2113	2130	2147	2164	2181	2198	2215	2233	2250	77 °	3	6	9
   13 °	2250	2267	2284	2300	2317	2334	2351	2368	2385	2402	2419	76 °	3	6	8
   14 °	2419	2436	2453	2470	2487	2504	2521	2538	2554	2571	0.2588	75 °	3	6	8
   15 °	0.2588	2605	2622	2639	2656	2672	2689	2706	2723	2740	2756	74 °	3	6	8
   16 °	2756	2773	2790	2807	2823	2840	2857	2874	2890	2907	2924	73 °	3	6	8
   17 °	2924	2940	2957	2974	2990	3007	3024	3040	3057	3074	3090	72 °	3	6	8
   18 °	3090	3107	3123	3140	3156	3173	3190	3206	3223	3239	3256	71 °	3	6	8
   19 °	3256	3272	3289	3305	3322	3338	3355	3371	3387	3404	0.3420	70 °	3	5	8
   20 °	0.3420	3437	3453	3469	3486	3502	3518	3535	3551	3567	3584	69 °	3	5	8
   21 °	3584	3600	3616	3633	3649	3665	3681	3697	3714	3730	3746	68 °	3	5	8
   22 °	3746	3762	3778	3795	3811	3827	3843	3859	3875	3891	3907	67 °	3	5	8
   23 °	3907	3923	3939	3955	3971	3987	4003	4019	4035	4051	4067	66 °	3	5	8
   24 °	4067	4083	4099	4115	4131	4147	4163	4179	4195	4210	0.4226	65 °	3	5	8
   25 °	0.4226	4242	4258	4274	4289	4305	4321	4337	4352	4368	4384	64 °	3	5	8
   26 °	4384	4399	4415	4431	4446	4462	4478	4493	4509	4524	4540	63 °	3	5	8
   27 °	4540	4555	4571	4586	4602	4617	4633	4648	4664	4679	4695	62 °	3	5	8
   28 °	4695	4710	4726	4741	4756	4772	4787	4802	4818	4833	4848	61 °	3	5	8
   29 °	4848	4863	4879	4894	4909	4924	4939	4955	4970	4985	0.5000	60 °	3	5	8
   30 °	0.5000	5015	5030	5045	5060	5075	5090	5105	5120	5135	5150	59 °	3	5	8
   31 °	5150	5165	5180	5195	5210	5225	5240	5255	5270	5284	5299	58 °	2	5	7
   32 °	5299	5314	5329	5344	5358	5373	5388	5402	5417	5432	5446	57 °	2	5	7
   33 °	5446	5461	5476	5490	5505	5519	5534	5548	5563	5577	5592	56 °	2	5	7
   34 °	5592	5606	5621	5635	5650	5664	5678	5693	5707	5721	0.5736	55 °	2	5	7
   35 °	0.5736	5750	5764	5779	5793	5807	5821	5835	5850	5864	0.5878	54 °	2	5	7
   36 °	5878	5892	5906	5920	5934	5948	5962	5976	5990	6004	6018	53 °	2	5	7
   37 °	6018	6032	6046	6060	6074	6088	6101	6115	6129	6143	6157	52 °	2	5	7
   38 °	6157	6170	6184	6198	6211	6225	6239	6252	6266	6280	6293	51 °	2	5	7
   39 °	6293	6307	6320	6334	6347	6361	6374	6388	6401	6414	0.6428	50 °	2	4	7
   40 °	0.6428	6441	6455	6468	6481	6494	6508	6521	6534	6547	6561	49 °	2	4	7
   41 °	6561	6574	6587	6600	6613	6626	6639	6652	6665	6678	6691	48 °	2	4	7
   42 °	6691	6704	6717	6730	6743	6756	6769	6782	6794	6807	6820	47 °	2	4	6
   43 °	6820	6833	6845	6858	6871	6884	6896	8909	6921	6934	6947	46 °	2	4	6
   44 °	6947	6959	6972	6984	6997	7009	7022	7034	7046	7059	0.7071	45 °	2	4	6
   45 °	0.7071	7083	7096	7108	7120	7133	7145	7157	7169	7181	7193	44 °	2	4	6
   46 °	7193	7206	7218	7230	7242	7254	7266	7278	7290	7302	7314	43 °	2	4	6
   47 °	7314	7325	7337	7349	7361	7373	7385	7396	7408	7420	7431	42 °	2	4	6
   48 °	7431	7443	7455	7466	7478	7490	7501	7513	7524	7536	7547	41 °	2	4	6
   49 °	7547	7559	7570	7581	7593	7604	7615	7627	7638	7649	0.7660	40 °	2	4	6
   50 °	0.7660	7672	7683	7694	7705	7716	7727	7738	7749	7760	7771	39 °	2	4	6
   51 °	7771	7782	7793	7804	7815	7826	7837	7848	7859	7869	7880	38 °	2	4	5
   52 °	7880	7891	7902	7912	7923	7934	7944	7955	7965	7976	7986	37 °	2	4	5
   53 °	7986	7997	8007	8018	8028	8039	8049	8059	8070	8080	8090	36 °	2	3	5
   54 °	8090	8100	8111	8121	8131	8141	8151	8161	8171	8181	0.8192	35 °	2	3	5
   55 °	0.8192	8202	8211	8221	8231	8241	8251	8261	8271	8281	8290	34 °	2	3	5
   56 °	8290	8300	8310	8320	8329	8339	8348	8358	8368	8377	8387	33 °	2	3	5
   57 °	8387	8396	8406	8415	8425	8434	8443	8453	8462	8471	8480	32 °	2	3	5
   58 °	8480	8490	8499	8508	8517	8526	8536	8545	8554	8563	8572	31 °	2	3	5
   59 °	8572	8581	8590	8599	8607	8616	8625	8634	8643	8652	0.8660	30 °	1	3	4
   60 °	0.8660	8669	8678	8686	8695	8704	8712	8721	8729	8738	8746	29 °	1	3	4
   61 °	8746	8755	8763	8771	8780	8788	8796	8805	8813	8821	8829	28 °	1	3	4
   62 °	8829	8838	8846	8854	8862	8870	8878	8886	8894	8902	8910	27 °	1	3	4
   63 °	8910	8918	8926	8934	8942	8949	8957	8965	8973	8980	8988	26 °	1	3	4
   64 °	8988	8996	9003	9011	9018	9026	9033	9041	9048	9056	0.9063	25 °	1	3	4
   65 °	0.9063	9070	9078	9085	9092	9100	9107	9114	9121	9128	9135	24 °	1	2	4
   66 °	9135	9143	9150	9157	9164	9171	9178	9184	9191	9198	9205	23 °	1	2	3
   67 °	9205	9212	9219	9225	9232	9239	9245	9252	9259	9256	9272	22 °	1	2	3
   68 °	9272	9278	9285	9291	9298	9304	9311	9317	9323	9330	9336	21 °	1	2	3
   69 °	9336	9342	9348	9354	9361	9367	9373	9379	9383	9391	0.9397	20 °	1	2	3
   70 °	9397	9403	9409	9415	9421	9426	9432	9438	9444	9449	0.9455	19 °	1	2	3
   71 °	9455	9461	9466	9472	9478	9483	9489	9494	9500	9505	9511	18 °	1	2	3
   72 °	9511	9516	9521	9527	9532	9537	9542	9548	9553	9558	9563	17 °	1	2	3
   73 °	9563	9568	9573	9578	9583	9588	9593	9598	9603	9608	9613	16 °	1	2	2
   74 °	9613	9617	9622	9627	9632	9636	9641	9646	9650	9655	0.9659	15 °	1	2	2
   75 °	9659	9664	9668	9673	9677	9681	9686	9690	9694	9699	9703	14 °	1	1	2
   76 °	9703	9707	9711	9715	9720	9724	9728	9732	9736	9740	9744	13 °	1	1	2
   77 °	9744	9748	9751	9755	9759	9763	9767	9770	9774	9778	9781	12 °	1	1	2
   78 °	9781	9785	9789	9792	9796	9799	9803	9806	9810	9813	9816	11 °	1	1	2
   79 °	9816	9820	9823	9826	9829	9833	9836	9839	9842	9845	0.9848	10 °	1	1	2
   80 °	0.9848	9851	9854	9857	9860	9863	9866	9869	9871	9874	9877	9 °	0	1	1
   81 °	9877	9880	9882	9885	9888	9890	9893	9895	9898	9900	9903	8 °	0	1	1
   82 °	9903	9905	9907	9910	9912	9914	9917	9919	9921	9923	9925	7 °	0	1	1
   83 °	9925	9928	9930	9932	9934	9936	9938	9940	9942	9943	9945	6 °	0	1	1
   84 °	9945	9947	9949	9951	9952	9954	9956	9957	9959	9960	9962	5 °	0	1	1
   85 °	9962	9963	9965	9966	9968	9969	9971	9972	9973	9974	9976	4 °	0	0	1
   86 °	9976	9977	9978	9979	9980	9981	9982	9983	9984	9985	9986	3 °	0	0	0
   87 °	9986	9987	9988	9989	9990	9990	9991	9992	9993	9993	9994	2 °	0	0	0
   88 °	9994	9995	9995	9996	9996	9997	9997	9997	9998	9998	0.9998	1 °	0	0	0
   89 °	9998	9999	9999	9999	9999	1.0000	1.0000	1.0000	1.0000	1.0000	1.0000	0°	0	0	0
   90 °	1.0000
   sin.	60"	54"	48"	42"	36"	30"	24"	18"	12"	6"	0"	cos.	1"	2"	3"

   To find the values \u200b\u200bof sinuses and cosine of the corners not presented in the table, you must use the amendments.

   Now we give the brady's table for Tangents and Kotangenes. It contains the values \u200b\u200bof the tangents of the angles from 0 to 76 degrees, and corner catanges from 14 to 90 degrees.

   Bradys Table for Tangent and Kotnence

   tG.	0"	6"	12"	18"	24"	30"	36"	42"	48"	54"	60"	cTG.	1"	2"	3"
   											0	90 °
   0°	0,000	0017	0035	0052	0070	0087	0105	0122	0140	0157	0175	89 °	3	6	9
   1 °	0175	0192	0209	0227	0244	0262	0279	0297	0314	0332	0349	88 °	3	6	9
   2 °	0349	0367	0384	0402	0419	0437	0454	0472	0489	0507	0524	87 °	3	6	9
   3 °	0524	0542	0559	0577	0594	0612	0629	0647	0664	0682	0699	86 °	3	6	9
   4 °	0699	0717	0734	0752	0769	0787	0805	0822	0840	0857	0,0875	85 °	3	6	9
   5 °	0,0875	0892	0910	0928	0945	0963	0981	0998	1016	1033	1051	84 °	3	6	9
   6 °	1051	1069	1086	1104	1122	1139	1157	1175	1192	1210	1228	83 °	3	6	9
   7 °	1228	1246	1263	1281	1299	1317	1334	1352	1370	1388	1405	82 °	3	6	9
   8 °	1405	1423	1441	1459	1477	1495	1512	1530	1548	1566	1584	81 °	3	6	9
   9 °	1584	1602	1620	1638	1655	1673	1691	1709	1727	1745	0,1763	80 °	3	6	9
   10 °	0,1763	1781	1799	1817	1835	1853	1871	1890	1908	1926	1944	79 °	3	6	9
   11 °	1944	1962	1980	1998	2016	2035	2053	2071	2089	2107	2126	78 °	3	6	9
   12 °	2126	2144	2162	2180	2199	2217	2235	2254	2272	2290	2309	77 °	3	6	9
   13 °	2309	2327	2345	2364	2382	2401	2419	2438	2456	2475	2493	76 °	3	6	9
   14 °	2493	2512	2530	2549	2568	2586	2605	2623	2642	2661	0,2679	75 °	3	6	9
   15 °	0,2679	2698	2717	2736	2754	2773	2792	2811	2830	2849	2867	74 °	3	6	9
   16 °	2867	2886	2905	2924	2943	2962	2981	3000	3019	3038	3057	73 °	3	6	9
   17 °	3057	3076	3096	3115	3134	3153	3172	3191	3211	3230	3249	72 °	3	6	10
   18 °	3249	3269	3288	3307	3327	3346	3365	3385	3404	3424	3443	71 °	3	6	10
   19 °	3443	3463	3482	3502	3522	3541	3561	3581	3600	3620	0,3640	70 °	3	7	10
   20 °	0,3640	3659	3679	3699	3719	3739	3759	3779	3799	3819	3839	69 °	3	7	10
   21 °	3839	3859	3879	3899	3919	3939	3959	3979	4000	4020	4040	68 °	3	7	10
   22 °	4040	4061	4081	4101	4122	4142	4163	4183	4204	4224	4245	67 °	3	7	10
   23 °	4245	4265	4286	4307	4327	4348	4369	4390	4411	4431	4452	66 °	3	7	10
   24 °	4452	4473	4494	4515	4536	4557	4578	4599	4621	4642	0,4663	65 °	4	7	11
   25 °	0,4663	4684	4706	4727	4748	4770	4791	4813	4834	4856	4877	64 °	4	7	11
   26 °	4877	4899	4921	4942	4964	4986	5008	5029	5051	5073	5095	63 °	4	7	11
   27 °	5095	5117	5139	5161	5184	5206	5228	5250	5272	5295	5317	62 °	4	7	11
   28 °	5317	5340	5362	5384	5407	5430	5452	5475	5498	5520	5543	61 °	4	8	11
   29 °	5543	5566	5589	5612	5635	5658	5681	5704	5727	5750	0,5774	60 °	4	8	12
   30 °	0,5774	5797	5820	5844	5867	5890	5914	5938	5961	5985	6009	59 °	4	8	12
   31 °	6009	6032	6056	6080	6104	6128	6152	6176	6200	6224	6249	58 °	4	8	12
   32 °	6249	6273	6297	6322	6346	6371	6395	6420	6445	6469	6494	57 °	4	8	12
   33 °	6494	6519	6544	6569	6594	6619	6644	6669	6694	6720	6745	56 °	4	8	13
   34 °	6745	6771	6796	6822	6847	6873	6899	6924	6950	6976	0,7002	55 °	4	9	13
   35 °	0,7002	7028	7054	7080	7107	7133	7159	7186	7212	7239	7265	54 °	4	8	13
   36 °	7265	7292	7319	7346	7373	7400	7427	7454	7481	7508	7536	53 °	5	9	14 °
   37 °	7536	7563	7590	7618	7646	7673	7701	7729	7757	7785	7813	52 °	5	9	14
   38 °	7813	7841	7869	7898	7926	7954	7983	8012	8040	8069	8098	51 °	5	9	14
   39 °	8098	8127	8156	8185	8214	8243	8273	8302	8332	8361	0,8391	50 °	5	10	15
   40 °	0,8391	8421	8451	8481	8511	8541	8571	8601	8632	8662	0,8693	49 °	5	10	15
   41 °	8693	8724	8754	8785	8816	8847	8878	8910	8941	8972	9004	48 °	5	10	16
   42 °	9004	9036	9067	9099	9131	9163	9195	9228	9260	9293	9325	47 °	6	11	16
   43 °	9325	9358	9391	9424	9457	9490	9523	9556	9590	9623	0,9657	46 °	6	11	17
   44 °	9657	9691	9725	9759	9793	9827	9861	9896	9930	9965	1,0000	45 °	6	11	17
   45 °	1,0000	0035	0070	0105	0141	0176	0212	0247	0283	0319	0355	44 °	6	12	18
   46 °	0355	0392	0428	0464	0501	0538	0575	0612	0649	0686	0724	43 °	6	12	18
   47 °	0724	0761	0799	0837	0875	0913	0951	0990	1028	1067	1106	42 °	6	13	19
   48 °	1106	1145	1184	1224	1263	1303	1343	1383	1423	1463	1504	41 °	7	13	20
   49 °	1504	1544	1585	1626	1667	1708	1750	1792	1833	1875	1,1918	40 °	7	14	21
   50 °	1,1918	1960	2002	2045	2088	2131	2174	2218	2261	2305	2349	39 °	7	14	22
   51 °	2349	2393	2437	2482	2527	2572	2617	2662	2708	2753	2799	38 °	8	15	23
   52 °	2799	2846	2892	2938	2985	3032	3079	3127	3175	3222	3270	37 °	8	16	24
   53 °	3270	3319	3367	3416	3465	3514	3564	3613	3663	3713	3764	36 °	8	16	25
   54 °	3764	3814	3865	3916	3968	4019	4071	4124	4176	4229	1,4281	35 °	9	17	26
   55 °	1,4281	4335	4388	4442	4496	4550	4605	4659	4715	4770	4826	34 °	9	18	27
   56 °	4826	4882	4938	4994	5051	5108	5166	5224	5282	5340	5399	33 °	10	19	29
   57 °	5399	5458	5517	5577	5637	5697	5757	5818	5880	5941	6003	32 °	10	20	30
   58 °	6003	6066	6128	6191	6255	6319	6383	6447	6512	6577	6643	31 °	11	21	32
   59 °	6643	6709	6775	6842	6909	6977	7045	7113	7182	7251	1,7321	30 °	11	23	34
   60 °	1,732	1,739	1,746	1,753	1,760	1,767	1,775	1,782	1,789	1,797	1,804	29 °	1	2	4
   61 °	1,804	1,811	1,819	1,827	1,834	1,842	1,849	1,857	1,865	1,873	1,881	28 °	1	3	4
   62 °	1,881	1,889	1,897	1,905	1,913	1,921	1,929	1,937	1,946	1,954	1,963	27 °	1	3	4
   63 °	1,963	1,971	1,980	1,988	1,997	2,006	2,014	2,023	2,032	2,041	2,05	26 °	1	3	4
   64 °	2,050	2,059	2,069	2,078	2,087	2,097	2,106	2,116	2,125	2,135	2,145	25 °	2	3	5
   65 °	2,145	2,154	2,164	2,174	2,184	2,194	2,204	2,215	2,225	2,236	2,246	24 °	2	3	5
   66 °	2,246	2,257	2,267	2,278	2,289	2,3	2,311	2,322	2,333	2,344	2,356	23 °	2	4	5
   67 °	2,356	2,367	2,379	2,391	2,402	2,414	2,426	2,438	2,450	2,463	2,475	22 °	2	4	6
   68 °	2,475	2,488	2,5	2,513	2,526	2,539	2,552	2,565	2,578	2,592	2,605	21 °	2	4	6
   69 °	2,605	2,619	2,633	2,646	2,66	2,675	2,689	2,703	2,718	2,733	2,747	20 °	2	5	7
   70 °	2,747	2,762	2,778	2,793	2,808	2,824	2,840	2,856	2,872	2,888	2,904	19 °	3	5	8
   71 °	2,904	2,921	2,937	2,954	2,971	2,989	3,006	3,024	3,042	3,06	3,078	18 °	3	6	9
   72 °	3,078	3,096	3,115	3,133	3,152	3,172	3,191	3,211	3,230	3,251	3,271	17 °	3	6	10
   73 °	3,271	3,291	3,312	3,333	3,354	3,376							3	7	10
   							3,398	3,42	3,442	3,465	3,487	16 °	4	7	11
   74 °	3,487	3,511	3,534	3,558	3,582	3,606							4	8	12
   							3,630	3,655	3,681	3,706	3,732	15 °	4	8	13
   75 °	3,732	3,758	3,785	3,812	3,839	3,867							4	9	13
   							3,895	3,923	3,952	3,981	4,011	14 °	5	10	14
   tG.	60"	54"	48"	42"	36"	30"	24"	18"	12"	6"	0"	cTG.	1"	2"	3"

   How to use brady's tables

   Consider the brady's table for sinuses and cosine. All that relates to sines is at the top and left. If we need cosines - we look at the right side at the bottom of the table.

   To find the values \u200b\u200bof the corner sinus, you need to find the intersection of a string containing a necessary number of degrees in an extremely left cell, and a column containing the required number of minutes in the upper cell.

   If the exact value of the angle is not in the Bradys table, resort to help amendments. Amendments for one, two and three minutes are given in the extreme right columns of the table. To find the sinus value of the angle, which is not in the table, we find the most close value to it. After that, add or take an amendment corresponding to the difference between the angles.

   In case we are looking for a sine angle, which is more than 90 degrees, you first need to use the formulas of bringing, and then the Bradys table.

   Example. How to use the brady's table

   Let it be necessary to find the sine angle of 17 ° 44. "On the table we find what is equal to the sine 17 ° 42" and add a correction for two minutes to its value:

   17 ° 44 "- 17 ° 42" \u003d 2 "(n e o b c o d and m and i p o p r a in k a) sin 17 ° 44" \u003d 0. 3040 + 0. 0006 \u003d 0. 3046.

   The principle of working with cosine, tangents and catangents are similar. However, it is important to remember about the amendment sign.

   Important!

   When calculating sinus values, the amendment has a positive sign, and when calculating the cosine, the amendment must be taken with a negative sign.

   If you notice a mistake in the text, please select it and press Ctrl + Enter