Trigonometry formulas list is provided here based on trigonometry ratios such as sine, cosine, tangent, cotangent, secant and cosecant. These formulas are used to solve various trigonometry problems.
In Mathematics, trigonometry is one of the most important topics to learn. Trigonometry is basically the study of triangles where ‘Trigon’ means triangle and ‘metry’ means measurement.
With reference to a right-angled triangle, the list of trigonometry formulas has been formulated. All the trigonometric formulas are based on identities and ratios. The relationship between angles and length of the sides of the triangle is formulated with the help of trigonometry concepts.
The list of trigonometry based formulas will be helpful for students to solve trigonometric problems easily. Below is the list of formulas based on the right-angled triangle and unit circle, which can be used as a reference to study trigonometry.
List of Important Trigonometry Formulas
First let us learn basic formulas of trigonometry, considering a right-angled triangle, which has an angle θ, a hypotenuse, a side opposite angle to angle θ and a side adjacent to angle θ.
Trigonometry Table
| Degrees | 0° | 30° | 45° | 60° | 90° | 180° | 270° | 360° |
| Radians | 0 | π/6 | π/4 | π/3 | π/2 | π | 3π/2 | 2π |
| Sin θ | 0 | 1/2 | 1/√2 | √3/2 | 1 | 0 | -1 | 0 |
| Cos θ | 1 | √3/2 | 1/√2 | 1/2 | 0 | -1 | 0 | 1 |
| Tan θ | 0 | 1/√3 | 1 | √3 | ∞ | 0 | ∞ | 0 |
| Cot θ | ∞ | √3 | 1 | 1/√3 | 0 | ∞ | 0 | ∞ |
| Sec θ | 1 | 2/√3 | √2 | 2 | ∞ | -1 | ∞ | 1 |
| Cosec θ | ∞ | 2 | √2 | 2/√3 | 1 | ∞ | -1 | ∞ |
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