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Tangent, written as tan (θ), is one of the six fundamental trigonometric functions. Tangent, like other trigonometric functions, is typically defined in terms of right triangles and in terms of the unit circle. Sine, Cosine and Tangent are the main functions used in Trigonometry and are based on a Right-Angled Triangle.
Understanding the Context
Before getting stuck into the functions, it helps to give a name to each side of a right triangle: Opposite is always opposite the angle. And Adjacent is always next to the angle. Today, the most common versions of these abbreviations are " sin " for sine, " cos " for cosine, " tan " or " tg " for tangent, " sec " for secant, " csc " or " cosec " for cosecant, and " cot " or " ctg " for cotangent. Related Pages Trigonometric Functions Trigonometric Graphs Trigonometric Identities Lessons On Trigonometry These lessons, with video lessons, examples and step-by-step solutions, help Algebra 2 students to learn about the trigonometric function: Sin, Cos, Tan and the reciprocal trigonometric functions Csc, Sec and Cot.
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Key Insights
Half-Angle formulas, Product and Sum Formulas. Trigonometry mainly provides six functions for sine (sin), cosine (cos), and tangent (tan), also its reciprocal functions cosecant (csc), secant (sec), and cotangent (cot). In a right-angled triangle, the formula for the tangent function is expressed as the ratio of the perpendicular and base of the triangle. It can also be expressed as the reciprocal of the cotangent function. Mathematically, tan function is written as f (x) = tan x.
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