Trigonometry is a branch of mathematics. Trigonometry studies the relationships between side lengths and angles of triangles. There are six ratios including sine, cosine, tangent, cosecant, secant and cotangent.  These six trigonometry ratios are abbreviated as sin, cos, tan, csc, sec, and cot. These are referred to as ratios since they can be expressed in terms of the sides of a right angled triangle for a specific angle.

Trigonometric functions

Trigonometric functions are functions related to an angle. There are six trigonometric functions: sine, cosine, tangent and their reciprocals cosecant, secant, and cotangent, respectively. Sine, cosine, and tangent are the most widely used trigonometric functions. Their reciprocals, though used, are less common in modern mathematics. Trigonometric functions are also called circular functions.

There are two main ways in which trigonometric functions are typically discussed: in terms of right triangles and in terms of the unit circle. The right-angled triangle definition of trigonometric functions is most often how they are introduced, followed by their definitions in terms of the unit circle.

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