# Trigonometry table calculator

Trigonometry tables are used to calculate the values of trigonometric functions such as sine, cosine, tangent, etc. at various angles. Here is an example of how you can create a trigonometry table calculator:

1. Determine the range of angles for your table. For example, you might want to calculate values for angles from 0 to 360 degrees.
2. Choose the increment for your angles. For example, you might want to calculate values for every 5 degrees.
3. Set up a table with columns for angle, sine, cosine, tangent, cosecant, secant, and cotangent.
4. Starting with the minimum angle, calculate the values of sine, cosine, tangent, cosecant, secant, and cotangent using the appropriate formulas.
5. Record the values in the table.
6. Repeat steps 4 and 5 for each subsequent angle until you reach the maximum angle.

Here is a trigonometry table that shows the values of the sine, cosine, and tangent functions for angles from 0 to 360 degrees in increments of 15 degrees:

Angle (deg) Sine (sin) Cosine (cos) Tangent (tan)
0 0 1 0
15 0.259 0.966 0.268
30 0.5 0.866 0.577
45 0.707 0.707 1.0
60 0.866 0.5 1.732
75 0.966 0.259 3.732
90 1 0 Undefined
105 0.966 -0.259 -3.732
120 0.866 -0.5 -1.732
135 0.707 -0.707 -1.0
150 0.5 -0.866 -0.577
165 0.259 -0.966 -0.268
180 0 -1 0
195 -0.259 -0.966 0.268
210 -0.5 -0.866 0.577
225 -0.707 -0.707 1.0
240 -0.866 -0.5 1.732
255 -0.966 -0.259 3.732
270 -1 0 Undefined
285 -0.966 0.259 -3.732
300 -0.866 0.5 -1.732
315 -0.707 0.707 -1.0
330 -0.5 0.866 -0.577
345 -0.259 0.966 -0.268
360 0 1 0

Note that the tangent function is undefined for angles that are a multiple of 90 degrees, because the cosine of those angles is zero.