A trigonometric table is a table of values of trigonometric ratio like sin, cos, tan, cot, cosec and sec from 0 to 360. This trig table holds corners in degrees and radians, that very helpful for translation of degrees in radians or vice versa.
Trigonometric Values Table
You can see below the trigonometric values table or trigonometric table
Angles
(in Degrees) 
0°  30°  45°  60°  90°  180°  270°  360° 
Angles
(in Radians) 
0  π/6  π/4  π/3  π/2  π  3π/2  2π 
sin  0  1/2  1/√2  √3/2  1  0  1  0 
cos  1  √3/2  1/√2  1/2  0  1  0  1 
tan  0  1/√3  1  √3  Not
Defined 
0  Not Defined  1 
cot  Not
Defined 
√3  1  1/√3  0  Not
Defined 
0  Not
Defined 
cosec  Not
Defined 
2  √2  2/√3  1  Not
Defined 
1  Not
Defined 
sec  1  2/√3  √2  2  Not
Defined 
1  Not
Defined 
1 
Trigonometric Values Table Chart
Steps to create Trignomatic Table:
Creating a trigonometry table by hand involves using basic geometric principles and properties of special angles. Here’s how you can do it:
Step 1: Understand Special Triangles
30°60°90° Triangle
In a 30°60°90° triangle, the sides have a specific ratio:

 The side opposite the 30° angle is \(\frac{1}{2} \)(half the hypotenuse).
 The side opposite the 60° angle is \(\frac{√3}{2} \) (half the hypotenuse times √3 ).
 The hypotenuse is 1.
45°45°90° Triangle
 In a 45°45°90° triangle, the sides have a specific ratio:
 The sides opposite the 45° angles are both \(\frac{\sqrt{2}}{2}\) (half the hypotenuse times √2).
 The hypotenuse is 1.
Step 2: Use the Unit Circle
 For angles not covered by special triangles, the unit circle is a powerful tool. The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane.
Step 3: Calculate Sine, Cosine, and Tangent
Using the unit circle and special triangles, you can find the values for the sine, cosine, and tangent of common angles:
0°, 90°, 180°, 270° (Angles on the Axes)
 At 0° (0 radians), the coordinates are (1, 0):
 sin(0°)=0
 cos(0°)=1
 tan(0°)=0
 At 90° (π/2 radians), the coordinates are (0, 1):
 sin(90°)=1
 cos(90°)=0
 tan(90°) is undefined (division by zero)
 At 180° (π radians), the coordinates are (1, 0):
 sin(180°)=0
 cos(180°)=−1
 tan(180°)=0
 At 270° (3π/2 radians), the coordinates are (0, 1):
 sin(270°)=−1
 cos(270°)=0
 tan(270°) is undefined (division by zero)
30°, 45°, 60° (Angles in Special Triangles)
 For 30° (π/6 radians):
 \(sin(30°) = \frac{1}{2}\)
 \(cos(30°) = \frac{\sqrt{3}}{2}\)
 \(tan(30°) = \frac{\sqrt{3}}{3}\)
 For 45° (π/4 radians):
 \(sin(45°) = \frac{\sqrt{2}}{2}\)
 \(cos(45°) = \frac{\sqrt{2}}{2}\)
 \(tan(45°) = 1\)
 For 60° (π/3 radians):
 \(sin(60°) = \frac{\sqrt{3}}{2}\)
 \(cos(60°) = \frac{1}{2}\)
 \(tan(60°) = \sqrt{3}\)
Step 4: Compile the Table
Here is a basic trigonometry table for common angles:
Angle (°)  Angle (radians)  Sine (sin)  Cosine (cos)  Tangent (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  Undefined 
180°  π  0  1  0 
270°  3π/2  1  0  Undefined 
360°  2π  0  1  0 
Step 5: Verify Your Calculations
Doublecheck your values with a scientific calculator or trigonometry reference to ensure accuracy.
By following these steps, you can create a trigonometry table by hand.
Frequently Asked Questions
What are the types of trigonometric functions?
In trigonometry, there are 6 different trigonometric functions which are given below:
 Sin function
 Cos function
 Tan function
 Cot function
 Cosec function
 Sec function
How to you find the value of trigonometric functions?
All the trigonometric functions are based to the sides of the triangle and their values. The value of trigonometric functions can be easily found by using the following formulas:
 Sin = Opposite/Hypotenuse
 Cos = Adjacent/Hypotenuse
 Tan = Opposite/Adjacent
 Cot = 1/Tan = Adjacent/Opposite
 Cosec = 1/Sin = Hypotenuse/Opposite
 Sec = 1/Cos = Hypotenuse/Adjacent