Trigonometry Formula Overview
Trigonometry formulas are mathematical expressions that relate the angles and sides of a Right Triangle. There are 3 sides a right-angled triangle is made up of:
- Hypotenuse: This is the longest side of a right-angled triangle.
- Perpendicular/Opposite side: It is the side that forms a right angle with respect to the given angle.
- Base: The base refers to the adjacent side where both the hypotenuse and the opposite side are connected.
All the trigonometric ratios, product identities, half angle formulas, double angle formulas, sum and difference identities, cofunction identities, a sign of ratios in different quadrants, etc. are briefly given here for the students of Classes 9, 10, 11, 12.
Here is the list of formulas in trigonometry we are going to discuss:
- Basic Trigonometric Ratio Formulas
- Unit Circle Formulas
- Trigonometric Identities
Trigonometry Formulas – List of All Trigonometric Identities and Formulas
Trigonometry formulas are equations that relate the sides and angles of triangles. They are essential for solving a wide range of problems in mathematics, physics, engineering and other fields.
Here are some of the most common types of trigonometry formulas:
- Basic definitions: These formulas define the trigonometric ratios (sine, cosine, tangent, etc.) in terms of the sides of a right triangle.
- Pythagorean theorem: This theorem relates the lengths of the sides in a right triangle.
- Angle relationships: These formulas relate the trigonometric ratios of different angles, such as sum and difference formulas, double angle formulas, and half angle formulas.
- Reciprocal identities: These formulas express one trigonometric ratio in terms of another, such as sin(θ) = 1/coc(θ).
- Unit circle: The unit circle is a graphical representation of the trigonometric ratios, and it can be used to derive many other formulas.
- Law of sines and law of cosines: These laws relate the sides and angles of any triangle, not just right triangles.
Read on to learn about different trigonometric formulas and identities, solved examples, and practice problems.
Table of Content
- What is Trigonometry?
- Trigonometry Formula Overview
- Basic Trigonometric Ratios
- Trigonometric Identities
- List of Trigonometry Formulas