Trigonometry Table
A trigonometry table PDF is useful for solving a variety of problems in mathematics and physics, including finding the solutions of triangles. Also, it helps in determining the values of periodic functions and solving differential equations. The Trigonometry Formula Table PDF aids in determining trigonometric ratio values for standard angles such as 0°, 30°, 45°, 60°, and 90°. The Trigonometry Table is useful in science, navigation, and engineering. The invention of the trigonometric table resulted in the creation of the first mechanical computer machines.
The students are advised to learn trigonometry formulas first before jumping on the steps to learn trigonometric tables. Students must know the Trigonometry Table formulas because it made it easy for students to learn the Trigonometry Table. Even trigonometric ratios are dependent upon trigonometric formulas. To ease students below we have given the trigonometric formulas.
Trigonometry Table
| θ | 0° (0 radians) |
30° (π/6) |
45° (π/4) |
60° (π/3) |
90° (π/2) |
180° (π) |
270° (3π/2) |
360° (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 | ∞ | 0 | ∞ | 0 |
| csc | ∞ | 2 | √2 | 2/√3 | 1 | ∞ | -1 | ∞ |
| sec | 1 | 2/√3 | √2 | 2 | ∞ | -1 | ∞ | 1 |
| cot | ∞ | √3 | 1 | 1/√3 | 0 | ∞ | 0 | ∞ |
How to Learn Trigonometric Table?
The trigonometric table might seem complex at first, but it can be learned easily by only the values of sine for the 8 standard angles. Before generating the table, there are few formulas that must be followed as given below:
- tan x = sin x/cos x
- cosec x = 1/sin x
- sec x = 1/cos x
- cot x = 1/tan x
Trigonometric Ratios Table
Trigonometry Table 0-360 Value Formulas
- sin x = cos (90° – x)
- cot x = tan (90° – x)
- sec x = cosec (90° – x)
- cos x = sin (90° – x)
- tan x = cot (90° – x)
- cosec x = sec (90° – x)
- 1/sin x = cosec x
- 1/tan x = cot x
- 1/cos x = sec x
Trigonometry Table FAQ’s
Q. What is the value of Sin 0°?
The value of Sin 0° is Zero.
Q. How to find the value of trigonometric functions on different angles?
All trigonometric functions are related to the triangle’s sides, and their values can be easily found using the following relationships:
Tan = Opposite/Adjacent
Cot = 1/Tan = Adjacent/Opposite
Sin = Opposite/Hypotenuse
Sec = 1/Cos = Hypotenuse/Adjacent
Cos = Adjacent/Hypotenuse
Cosec = 1/Sin = Hypotenuse/Opposite
Q. What is the value of Cos 0°?
The value of Cos 0° is 1.
Q. What is the trick to calculating the value of tan on different angles?
Use this formula to calculate the value of tan on different angles: tan x = sin x/cos x
Q. What is the trick to calculating the value of cosec on different angles?
Use this formula to calculate the value of cosec on different angles: cosec x = 1/sin x
You can download the Trigonometry Table PDF using the link given below.
