What is the list of trigonometry formulas?
Trigonometry is the study of triangles and connections between triangle lengths and angles in mathematics. Trigonometric formulas and a list of trigonometric identities form one of the most timeless and important facets of mathematics.
Trigonometry and related equations have a plethora of applications. Triangulation, for example, is used in Geography to calculate the distance between landmarks; in Astronomy they are used to determine the distance to neighboring stars; and, in satellite navigation systems.
Trigonometry formulas are a collection ofāÆallāÆtrigonometryāÆformulas that use trigonometric identities to solve problems involving the sides and angles of a right-angled triangle. For given angles, these trigonometry formulas include trigonometric functions such as sine, cosine, tangent, cosecant, secant, and cotangent. In the following sections, Pythagorean identities, product identities, co-function identities (shifting angles), sum & difference identities, double-angle identities, half-angle identities, and so on are explained in detail.
List of Trigonometric Formulas
When we first learn about trigonometric formulas, we only consider right-angled triangles. A right-angled triangle has three sides: the hypotenuse, the opposite side (perpendicular), and the adjacent side (Base). The longest side is known as the hypotenuse, the opposite side is perpendicular, and the adjacent side is where both the hypotenuse and the opposite side rest.
Basic Trigonometric FormulasĀ
Inverse Trigonometric FormulasĀ
Trigonometry IdentitiesĀ
Reciprocal IdentitiesĀ
Periodic IdentitiesĀ
Co-function IdentitiesĀ
Sum and Difference IdentitiesĀ
Double Angle IdentitiesĀ
Triple Angle IdentitiesĀ
Half Angle IdentitiesĀ
Product identitiesĀ
Sum to Product IdentitiesĀ
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