Trigonometric (Sin Cos Tan) Table 0-360 Degrees (Downloadable) and How to Learn from It - Compute Expert

Trigonometric (Sin Cos Tan) Table 0-360 Degrees (Downloadable) and How to Learn from It


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In this Compute Expert article, you will be able to see full trigonometric (sin cos tan) tables, from 0 to 360 degrees. You can download the tables in an excel or PDF file if you want through the download links we provide.

Here, we will also discuss the trigonometric table a bit and how to learn from it. There is a section here that talks about how to create and modify the table in excel if you are interested.

Excel is a flexible software we can use to create many things. One of those things is the trigonometric table. This table can be very useful if we want to do some arithmetic operations to the degree numbers that we have.

Want to know more about the trigonometric table and learn how to create it yourself in excel? Read our article until its last part!







Our Trigonometric Table Content (Special Angles (Degrees))

There are two kinds of trigonometric tables people often use, the special angles trigonometric table and all angles trigonometric table. You can choose which one you prefer to use from the tables we have created for you here.

The first one is the special angles trigonometric table. Here are the special angles trigonometric table content we incorporate into our table, starting from 0 to 90 degrees.

0 to 90 degrees, special angles trigonometric table

Degree (°)sincostan
0010
301/21/2√31/2√3
451/2√21/2√21
601/2√31/2√3
9010


90 to 180 degrees, special angles trigonometric table

Degree (°)sincostan
9010
1201/2√3-1/2-√3
1351/2√2-1/2√2-1
1501/2-1/2√3-1/2√3
1800-10


180 to 270 degrees, special angles trigonometric table

Degree (°)sincostan
1800-10
210-1/2-1/2√31/3√3
225-1/2√2-1/2√21
240-1/2√3-1/2√3
270-10


270 to 360 degrees, special angles trigonometric table

Degree (°)sincostan
270-10
300-1/2√31/2-√3
315-1/2√21/2√2-1
330-1/2-1/2√3-1/3√3
360010


And here is what our special angles trigonometric table look like.

Trigonometric (Sin Cos Tan) Table 0-360 Degrees (Downloadable) and How to Learn from It - Screenshot of the Trigonometric Table for Special Degrees from Compute Expert



Our Trigonometric Table Content (All Angles (Degrees) from 0 to 360)

Want to get the sin, cos, or tan value from degrees other than the special degrees above? You can take a look at our trigonometric table for all angles (0 to 360 degrees) if that is the case!



Here is the thing that we put in our table.

Degree (°)sincostan
0010
10.01750.99980.0175
20.03490.99940.0349
30.05230.99860.0524
40.06980.99760.0699
50.08720.99620.0875
60.10450.99450.1051
70.12190.99250.1228
80.13920.99030.1405
90.15640.98770.1584
100.17360.98480.1763
110.19080.98160.1944
120.20790.97810.2126
130.2250.97440.2309
140.24190.97030.2493
150.25880.96590.2679
160.27560.96130.2867
170.29240.95630.3057
180.3090.95110.3249
190.32560.94550.3443
200.3420.93970.364
210.35840.93360.3839
220.37460.92720.404
230.39070.92050.4245
240.40670.91350.4452
250.42260.90630.4663
260.43840.89880.4877
270.4540.8910.5095
280.46950.88290.5317
290.48480.87460.5543
300.50.8660.5774
310.5150.85720.6009
320.52990.8480.6249
330.54460.83870.6494
340.55920.8290.6745
350.57360.81920.7002
360.58780.8090.7265
370.60180.79860.7536
380.61570.7880.7813
390.62930.77710.8098
400.64280.7660.8391
410.65610.75470.8693
420.66910.74310.9004
430.6820.73140.9325
440.69470.71930.9657
450.70710.70711
460.71930.69471.0355
470.73140.6821.0724
480.74310.66911.1106
490.75470.65611.1504
500.7660.64281.1918
510.77710.62931.2349
520.7880.61571.2799
530.79860.60181.327
540.8090.58781.3764
550.81920.57361.4281
560.8290.55921.4826
570.83870.54461.5399
580.8480.52991.6003
590.85720.5151.6643
600.8660.51.7321
610.87460.48481.804
620.88290.46951.8807
630.8910.4541.9626
640.89880.43842.0503
650.90630.42262.1445
660.91350.40672.246
670.92050.39072.3559
680.92720.37462.4751
690.93360.35842.6051
700.93970.3422.7475
710.94550.32562.9042
720.95110.3093.0777
730.95630.29243.2709
740.96130.27563.4874
750.96590.25883.7321
760.97030.24194.0108
770.97440.2254.3315
780.97810.20794.7046
790.98160.19085.1446
800.98480.17365.6713
810.98770.15646.3138
820.99030.13927.1154
830.99250.12198.1443
840.99450.10459.5144
850.99620.087211.4301
860.99760.069814.3007
870.99860.052319.0811
880.99940.034928.6363
890.99980.017557.29
9010
910.9998-0.0175-57.29
920.9994-0.0349-28.6363
930.9986-0.0523-19.0811
940.9976-0.0698-14.3007
950.9962-0.0872-11.4301
960.9945-0.1045-9.5144
970.9925-0.1219-8.1443
980.9903-0.1392-7.1154
990.9877-0.1564-6.3138
1000.9848-0.1736-5.6713
1010.9816-0.1908-5.1446
1020.9781-0.2079-4.7046
1030.9744-0.225-4.3315
1040.9703-0.2419-4.0108
1050.9659-0.2588-3.7321
1060.9613-0.2756-3.4874
1070.9563-0.2924-3.2709
1080.9511-0.309-3.0777
1090.9455-0.3256-2.9042
1100.9397-0.342-2.7475
1110.9336-0.3584-2.6051
1120.9272-0.3746-2.4751
1130.9205-0.3907-2.3559
1140.9135-0.4067-2.246
1150.9063-0.4226-2.1445
1160.8988-0.4384-2.0503
1170.891-0.454-1.9626
1180.8829-0.4695-1.8807
1190.8746-0.4848-1.804
1200.866-0.5-1.7321
1210.8572-0.515-1.6643
1220.848-0.5299-1.6003
1230.8387-0.5446-1.5399
1240.829-0.5592-1.4826
1250.8192-0.5736-1.4281
1260.809-0.5878-1.3764
1270.7986-0.6018-1.327
1280.788-0.6157-1.2799
1290.7771-0.6293-1.2349
1300.766-0.6428-1.1918
1310.7547-0.6561-1.1504
1320.7431-0.6691-1.1106
1330.7314-0.682-1.0724
1340.7193-0.6947-1.0355
1350.7071-0.7071-1
1360.6947-0.7193-0.9657
1370.682-0.7314-0.9325
1380.6691-0.7431-0.9004
1390.6561-0.7547-0.8693
1400.6428-0.766-0.8391
1410.6293-0.7771-0.8098
1420.6157-0.788-0.7813
1430.6018-0.7986-0.7536
1440.5878-0.809-0.7265
1450.5736-0.8192-0.7002
1460.5592-0.829-0.6745
1470.5446-0.8387-0.6494
1480.5299-0.848-0.6249
1490.515-0.8572-0.6009
1500.5-0.866-0.5774
1510.4848-0.8746-0.5543
1520.4695-0.8829-0.5317
1530.454-0.891-0.5095
1540.4384-0.8988-0.4877
1550.4226-0.9063-0.4663
1560.4067-0.9135-0.4452
1570.3907-0.9205-0.4245
1580.3746-0.9272-0.404
1590.3584-0.9336-0.3839
1600.342-0.9397-0.364
1610.3256-0.9455-0.3443
1620.309-0.9511-0.3249
1630.2924-0.9563-0.3057
1640.2756-0.9613-0.2867
1650.2588-0.9659-0.2679
1660.2419-0.9703-0.2493
1670.225-0.9744-0.2309
1680.2079-0.9781-0.2126
1690.1908-0.9816-0.1944
1700.1736-0.9848-0.1763
1710.1564-0.9877-0.1584
1720.1392-0.9903-0.1405
1730.1219-0.9925-0.1228
1740.1045-0.9945-0.1051
1750.0872-0.9962-0.0875
1760.0698-0.9976-0.0699
1770.0523-0.9986-0.0524
1780.0349-0.9994-0.0349
1790.0175-0.9998-0.0175
1800-10
181-0.0175-0.99980.0175
182-0.0349-0.99940.0349
183-0.0523-0.99860.0524
184-0.0698-0.99760.0699
185-0.0872-0.99620.0875
186-0.1045-0.99450.1051
187-0.1219-0.99250.1228
188-0.1392-0.99030.1405
189-0.1564-0.98770.1584
190-0.1736-0.98480.1763
191-0.1908-0.98160.1944
192-0.2079-0.97810.2126
193-0.225-0.97440.2309
194-0.2419-0.97030.2493
195-0.2588-0.96590.2679
196-0.2756-0.96130.2867
197-0.2924-0.95630.3057
198-0.309-0.95110.3249
199-0.3256-0.94550.3443
200-0.342-0.93970.364
201-0.3584-0.93360.3839
202-0.3746-0.92720.404
203-0.3907-0.92050.4245
204-0.4067-0.91350.4452
205-0.4226-0.90630.4663
206-0.4384-0.89880.4877
207-0.454-0.8910.5095
208-0.4695-0.88290.5317
209-0.4848-0.87460.5543
210-0.5-0.8660.5774
211-0.515-0.85720.6009
212-0.5299-0.8480.6249
213-0.5446-0.83870.6494
214-0.5592-0.8290.6745
215-0.5736-0.81920.7002
216-0.5878-0.8090.7265
217-0.6018-0.79860.7536
218-0.6157-0.7880.7813
219-0.6293-0.77710.8098
220-0.6428-0.7660.8391
221-0.6561-0.75470.8693
222-0.6691-0.74310.9004
223-0.682-0.73140.9325
224-0.6947-0.71930.9657
225-0.7071-0.70711
226-0.7193-0.69471.0355
227-0.7314-0.6821.0724
228-0.7431-0.66911.1106
229-0.7547-0.65611.1504
230-0.766-0.64281.1918
231-0.7771-0.62931.2349
232-0.788-0.61571.2799
233-0.7986-0.60181.327
234-0.809-0.58781.3764
235-0.8192-0.57361.4281
236-0.829-0.55921.4826
237-0.8387-0.54461.5399
238-0.848-0.52991.6003
239-0.8572-0.5151.6643
240-0.866-0.51.7321
241-0.8746-0.48481.804
242-0.8829-0.46951.8807
243-0.891-0.4541.9626
244-0.8988-0.43842.0503
245-0.9063-0.42262.1445
246-0.9135-0.40672.246
247-0.9205-0.39072.3559
248-0.9272-0.37462.4751
249-0.9336-0.35842.6051
250-0.9397-0.3422.7475
251-0.9455-0.32562.9042
252-0.9511-0.3093.0777
253-0.9563-0.29243.2709
254-0.9613-0.27563.4874
255-0.9659-0.25883.7321
256-0.9703-0.24194.0108
257-0.9744-0.2254.3315
258-0.9781-0.20794.7046
259-0.9816-0.19085.1446
260-0.9848-0.17365.6713
261-0.9877-0.15646.3138
262-0.9903-0.13927.1154
263-0.9925-0.12198.1443
264-0.9945-0.10459.5144
265-0.9962-0.087211.4301
266-0.9976-0.069814.3007
267-0.9986-0.052319.0811
268-0.9994-0.034928.6363
269-0.9998-0.017557.29
270-10
271-0.99980.0175-57.29
272-0.99940.0349-28.6363
273-0.99860.0523-19.0811
274-0.99760.0698-14.3007
275-0.99620.0872-11.4301
276-0.99450.1045-9.5144
277-0.99250.1219-8.1443
278-0.99030.1392-7.1154
279-0.98770.1564-6.3138
280-0.98480.1736-5.6713
281-0.98160.1908-5.1446
282-0.97810.2079-4.7046
283-0.97440.225-4.3315
284-0.97030.2419-4.0108
285-0.96590.2588-3.7321
286-0.96130.2756-3.4874
287-0.95630.2924-3.2709
288-0.95110.309-3.0777
289-0.94550.3256-2.9042
290-0.93970.342-2.7475
291-0.93360.3584-2.6051
292-0.92720.3746-2.4751
293-0.92050.3907-2.3559
294-0.91350.4067-2.246
295-0.90630.4226-2.1445
296-0.89880.4384-2.0503
297-0.8910.454-1.9626
298-0.88290.4695-1.8807
299-0.87460.4848-1.804
300-0.8660.5-1.7321
301-0.85720.515-1.6643
302-0.8480.5299-1.6003
303-0.83870.5446-1.5399
304-0.8290.5592-1.4826
305-0.81920.5736-1.4281
306-0.8090.5878-1.3764
307-0.79860.6018-1.327
308-0.7880.6157-1.2799
309-0.77710.6293-1.2349
310-0.7660.6428-1.1918
311-0.75470.6561-1.1504
312-0.74310.6691-1.1106
313-0.73140.682-1.0724
314-0.71930.6947-1.0355
315-0.70710.7071-1
316-0.69470.7193-0.9657
317-0.6820.7314-0.9325
318-0.66910.7431-0.9004
319-0.65610.7547-0.8693
320-0.64280.766-0.8391
321-0.62930.7771-0.8098
322-0.61570.788-0.7813
323-0.60180.7986-0.7536
324-0.58780.809-0.7265
325-0.57360.8192-0.7002
326-0.55920.829-0.6745
327-0.54460.8387-0.6494
328-0.52990.848-0.6249
329-0.5150.8572-0.6009
330-0.50.866-0.5774
331-0.48480.8746-0.5543
332-0.46950.8829-0.5317
333-0.4540.891-0.5095
334-0.43840.8988-0.4877
335-0.42260.9063-0.4663
336-0.40670.9135-0.4452
337-0.39070.9205-0.4245
338-0.37460.9272-0.404
339-0.35840.9336-0.3839
340-0.3420.9397-0.364
341-0.32560.9455-0.3443
342-0.3090.9511-0.3249
343-0.29240.9563-0.3057
344-0.27560.9613-0.2867
345-0.25880.9659-0.2679
346-0.24190.9703-0.2493
347-0.2250.9744-0.2309
348-0.20790.9781-0.2126
349-0.19080.9816-0.1944
350-0.17360.9848-0.1763
351-0.15640.9877-0.1584
352-0.13920.9903-0.1405
353-0.12190.9925-0.1228
354-0.10450.9945-0.1051
355-0.08720.9962-0.0875
356-0.06980.9976-0.0699
357-0.05230.9986-0.0524
358-0.03490.9994-0.0349
359-0.01750.9998-0.0175
360010


We make that into something like this in excel.

Trigonometric (Sin Cos Tan) Table 0-360 Degrees (Downloadable) and How to Learn from It - Screenshot of the Trigonometric Table for All Degrees from Compute Expert, Part 1

Trigonometric (Sin Cos Tan) Table 0-360 Degrees (Downloadable) and How to Learn from It - Screenshot of the Trigonometric Table for All Degrees from Compute Expert, Part 2

Trigonometric (Sin Cos Tan) Table 0-360 Degrees (Downloadable) and How to Learn from It - Screenshot of the Trigonometric Table for All Degrees from Compute Expert, Part 3

Trigonometric (Sin Cos Tan) Table 0-360 Degrees (Downloadable) and How to Learn from It - Screenshot of the Trigonometric Table for All Degrees from Compute Expert, Part 4

Download our special angles and/or all angles trigonometric table in the next part of this article!




Trigonometric Table Download (Excel xlsx/PDF)

Need to get a trigonometric table for you to use? You can download our trigonometric tables by clicking on the links below. The tables we prepare for you here are in excel and PDF files.

Excel file:
Excel xlsx

Special angles trigonometric table:
PDF (A3)
PDF (A4)

All angles trigonometric table:
PDF (A3)
PDF (A4)

If you want to print the trigonometric table, you should download the PDF file with the paper size you want (A3 or A4). However, if you want to edit the table a bit first, you should download the excel file.



Trigonometry Definition

Trigonometry is a branch of mathematics that studies the relationship between the sides and the angles of triangles.

Six ratios become the main theme of trigonometry calculation. These ratios compare the length of the sides of a triangle that has a certain angle.

We call those six ratios sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot). However, people pay attention mostly to only three ratios when we talk about trigonometry: sin, cos, and tan.



Trigonometric Table Definition

A trigonometric table is a table that summarizes the trigonometric ratios for various angles of a triangle. By looking at this table, we can easily get the trigonometric ratio we need for our calculation result/further data processing.

There are usually two types of trigonometric tables, the special degrees table and the all degrees table. The special degrees table contains the trigonometric ratios for triangle degrees that provide exact trigonometric ratios. These special degrees are 0°, 30°, 45°, 60°, and 90° and their equivalent in other degree quadrants.

Meanwhile, the all degrees table contains the trigonometric ratios for all numbers of a triangle degree, from 0° to 360°.



Sin, Cos, and Tan Definition

As we have mentioned a bit before, sin, cos, and tan ratios are the comparison between triangle sides’ lengths. The sides length we compare in each ratio depends on which angle we calculate the ratios of in a triangle.



Here is an image that illustrates the definition of sin, cos, and tan ratios.

Trigonometric (Sin Cos Tan) Table 0-360 Degrees (Downloadable) and How to Learn from It - Screenshot of the Sin Cos Tan Definition Illustration

Here is the description of what each ratio calculates if we put the illustration above into words.
  • sin = divides the length of the opposite side from our triangle angle with the triangle hypotenuse side length
  • cos = divides the length of the adjacent side from our triangle angle with the triangle hypotenuse side length
  • tan = divides the length of the opposite side from our triangle angle with its adjacent side length


Tips to Learn from Our Trigonometric Tables

Now that you have understood about trigonometry and the sin cos tan ratios, let’s learn from the trigonometric table!

It might be difficult to get all the sin cos tan values from the table into our heads. Nevertheless, here are some tips that can help you to get more from your learning process.

  • Print the A4 version of our trigonometric table and put it somewhere you can easily access it anytime. That way, you should be able to learn the table whenever and wherever you need/want to. This can help you to get the hang of the ratio values faster, especially for the special degrees one

  • Remember on which angle quadrant the sin, cos, and tan ratios are negative and positive. This should help you get the correct form of the angle ratios you want to calculate.

    Here is the summary of where each ratio is positive and negative in the four angle quadrants.
    • Quadrant I (0 to 90 degrees): all sin, cos, and tan ratios are positive
    • Quadrant II (90 to 180 degrees): sin ratio is positive. Cos and tan ratios are negative
    • Quadrant III (180 to 270 degrees): tan ratio is positive. Sin and cos ratios are negative
    • Quadrant IV (270 to 360 degrees): cos ratio is positive. Sin and tan ratios are negative

  • Remember that the sin cos tan values are the same for degrees that have a 180 degrees difference between them. The only probable difference between those degrees are the negative and positive form of their values

  • Remember the right triangle sides length equation (the square of hypotenuse side length equals the sum of the square of the other two sides length) and the formulas to calculate sin cos tan ratios. We calculate sin, cos, and tan ratios mostly for the angle of a right triangle. If we remember the equation and ratios calculation, we can illustrate the right triangle sides length if we know one ratio. From there, we can calculate other ratios based on the illustration

  • Do sin, cos, and tan ratios exercise consistently and use our tables as answer key references. Try to repeatedly do relevant exercises and see our tables to check your answers each time you finish an exercise. This should help you to remember some of the trigonometric ratio values

Hope our tips above can help you to learn the trigonometric table more productively!


How to Create a Trigonometric Table in Excel

Want to create a trigonometric table on your own in excel? You can do it easily if you understand the basics of how to manipulate excel worksheets display!

When we create our trigonometric tables, we mostly work on how we display our tables in excel worksheets. We change our worksheets’ cell colors, font display, column and row width, and borders. You should master how to do those things so you can create trigonometric tables like ours!

For the degree and ratio values in the special degrees trigonometric table, we type them manually. We use the symbol menu in excel to insert the root and infinite symbols we input there.

For the all degrees trigonometric table, we divide it into four (90 degrees each) to make the values in the table readable easier. We create one part first until we finish it so we can copy it as a template for the other parts.

We input the degree values in the all degrees trigonometric table by using autofill to do it much faster. To use the autofill, we input two degree values at the top of each degree column. Then, we highlight their cells and copy them down to have all the degree values we need in our degree columns.



For the sin, cos, and tan values, we get them by combining ROUND, SIN/COS/TAN, and RADIANS functions. Here is the general formula writing for the combination of those functions in our excel.

= ROUND ( SIN/COS/TAN ( RADIANS ( degree_value ) ) , 4 )


We apply RADIANS to our degree values first before we apply SIN/COS/TAN. That is because SIN/COS/TAN can only get the sin, cos, and tan of our degree values from their radians. After we get its result, we apply ROUND because we want to round the result to 4 decimals.

We just need to write the formula above once for each sin/cos/tan column. After that, we copy the formula writing to get all the sin, cos, and tan ratios we need!

After we copy the first sheet to create other parts of the table, we just need to change the degree values. Just do the autofill again so we can input the degree values we need much faster.


How to Modify this Table in Its Excel Template

Want to modify the trigonometric tables we have here so they can suit your preference more? Download their excel file to get started!

If you need to change the tables display, you can utilize the basic excel display features to do so. The features you need to use are most probably related to cell colors, border, column width, and font.

You may also want to add and reduce the number of degree values we have or move them to another sheet. To do those things, you should run the copy, cut, and paste operations.

If you need to get the sin, cos, and tan ratios of a degree value, just use our formula method. Combine ROUND, SIN/COS/TAN, and RADIANS in one formula writing to get the ratios easily!


Trigonometric Table Exercise

After you have seen our trigonometric tables and learned more about trigonometry from this article, let’s do an exercise. This is so you can deepen your understanding of trigonometry ratios.

Download the exercise file and fill in the blanks there. You can fill them directly in the excel file or print the PDF and write on the blanks on the hardcopy. Don’t look at the trigonometric tables or use excel formulas when you do the exercise!

After you finish the exercise, check your answers by looking at the trigonometric tables or by downloading the answer key file.

Link to the exercise file:
Excel xlsx
PDF (A3)
PDF (A4)

Link to the answer key file:
Excel xlsx
PDF (A3)
PDF (A4)

If you need more exercises, you can change the degree values in our exercise excel file!



Additional Note

Cosecant, secant, and cotangent ratio values are the reciprocal of sin, cos, and tan ratio values. The way to calculate them in relation to that reciprocal relationship is as follows.
  • Cosecant = 1/sin
  • Secant = 1/cos
  • Contangent = 1/tan


It should be easy to get the cosecant, secant, and cotangent if you know the sin, cos, and tan!



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