Trigonometry Basic functions ,formulas and identities

Trigonometry 

The word trigonometry comes from the Greek words trigonon (“triangle”) and metron (“to measure”). Trigonometry, the branch of mathematics that deals with specific functions of angles and their application.


Basic functions 

There are six functions of an angle commonly used in trigonometry. They are tabulated below.

Functions

Abbreviation

Relationship to sides of a right triangle

Sine Function

Sin θ

Opposite side/ Hypotenuse

Tangent Function

Tan θ

Opposite side / Adjacent side

Cosine Function

Cos θ

Adjacent side / Hypotenuse

Cosecant Function

cosecθ

Hypotenuse / Opposite side

Secant Function

secθ

Hypotenuse / Adjacent side

Cotangent Function

cotθ

Adjacent side / Opposite side

Trigonometric Identities


Trigonometric identities and formulas that can be used to simplify expressions, solve equations, and evaluate integrals.

 

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