Trigonometric identities are equations involving trigonometric functions that hold true for all values of the variables within their domains. There are many such identities, either involving the sides of a right-angled triangle, its angle, or both. They are based on the six fundamental trigonometric functions: sine (sin), cosine (cos), tangent (tan), cosecant (cosec), secant (sec), and cotangent (cot). All the identities are derived from the six trigonometric functions and are used to ... What are Trigonometric Identities? Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation. There are various distinct trigonometric identities involving the side length as well as the angle of a triangle. The trigonometric identities hold true only for the right-angle triangle. All the trigonometric identities are based on the six trigonometric ratios. They are sine, cosine, tangent, cosecant ... 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 ... cos θ formula: Explore more about the cos θ formula with solved examples.