Trigonometry Table PDF Summary
Dear readers, here we are offering Trigonometry Table PDF to all of you. Trigonometry is a branch of mathematics under which the relationship between the sides and angles of a triangle is studied. Trigonometry is found throughout geometry since every straight-sided figure can be broken down into a collection of triangles. Furthermore, trigonometry has surprisingly complex relationships with other branches of mathematics, especially complex numbers, infinite series, logarithms, and calculus. Here all the Trigonometry Formulas for Class 10 and Trigonometry Formulas for Class 11th are given which can be helpful for the preparation in Classes 10th and 12th also. Questions related to Trigonometry are asked in various competitive exams like SSC, Railway, etc. In this post, we are providing you with helpful Trigonometry Notes for the examinations. This will help you to remember the basic formulas of trigonometry.
Trigonometry Table PDF – A quick, but inaccurate, approximation
| 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
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 Ratio Table
Below is the table for trigonometry formulas for angles that are commonly used for solving problems.
| 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 | ∞ | 0 | ∞ | 0 |
| cot | ∞ | √3 | 1 | 1/√3 | 0 | ∞ | 0 | ∞ |
| cosec | ∞ | 2 | √2 | 2/√3 | 1 | ∞ | -1 | ∞ |
| sec | 1 | 2/√3 | √2 | 2 | ∞ | -1 | ∞ | 1 |
Periodicity Identities (in Radians)
These formulas are used to shift the angles by π/2, π, 2π, etc. They are also called co-function identities.
sin (π/2 – A) = cos A & cos (π/2 – A) = sin A
sin (π/2 + A) = cos A & cos (π/2 + A) = – sin A
sin (3π/2 – A) = – cos A & cos (3π/2 – A) = – sin A
sin (3π/2 + A) = – cos A & cos (3π/2 + A) = sin A
sin (π – A) = sin A & cos (π – A) = – cos A
sin (π + A) = – sin A & cos (π + A) = – cos A
sin (2π – A) = – sin A & cos (2π – A) = cos A
sin (2π + A) = sin A & cos (2π + A) = cos A
All trigonometric identities are cyclic in nature. They repeat themselves after this periodicity constant. This periodicity constant is different for different trigonometric identities. tan 45° = tan 225° but this is true for cos 45° and cos 225°. Refer to the above trigonometry table to verify the values.
Cofunction Identities (in Degrees)
The co-function or periodic identities can also be represented in degrees as:
sin(90°−x) = cos x
cos(90°−x) = sin x
tan(90°−x) = cot x
cot(90°−x) = tan x
sec(90°−x) = cosec x
cosec(90°−x) = sec x
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