Trigonometric functions are a set of mathematical functions that relate the angles of a right-angled triangle to the lengths of its sides. There are six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent. These functions are widely used in mathematics, physics, engineering, and other scientific disciplines.
In particular, Class 12 Mathematics syllabus includes the following topics related to trigonometric functions:
Trigonometric Identities: This involves the study of various identities involving trigonometric functions, such as Pythagorean identity, sum and difference identities, double angle identities, and product-to-sum identities.
Inverse Trigonometric Functions: This topic involves the study of the inverse of trigonometric functions, such as arcsine, arccosine, and arctangent, and their properties.
Trigonometric Equations: This involves the study of equations involving trigonometric functions and their solutions.
Heights and Distances: This topic involves the use of trigonometric functions to solve problems related to heights and distances, such as finding the height of a building or the distance between two objects.
Applications of Trigonometry: Trigonometry finds applications in various fields, including physics, engineering, and navigation. The Class 12 Mathematics syllabus covers some of these applications, such as simple harmonic motion, waves, and the behavior of light.
The study of trigonometric functions provides a powerful tool for solving problems related to angles and distances in various fields and is essential for further study in mathematics and other scientific disciplines.