Trigonometric identities class 10th Ncert sin cos tan cot sec cosec
TRIGONOMETRIC IDENTITY Trigonometric identities are equations that involve trigonometric functions and hold true for every value of the variable (within the domain where the functions are defined). They serve as the backbone of trigonometry, enabling us to simplify expressions, solve equations, and understand the deep relationships among the sine, cosine, tangent, and other trigonometric functions. In this comprehensive exploration, we will delve into the fundamental trigonometric identities, discuss their derivations and proofs, provide illustrative examples, and highlight their applications across various fields of mathematics and science. 1. Introduction to Trigonometric Identities At its core, a trigonometric identity is an equality that is universally valid for all angles (or values of the variable) for which the functions involved are defined. Unlike conditional equations that are true only for certain angles, identities remain true regardless of the specific angle. ...