In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy etc. There are six functions of an angle commonly used in trigonometry. The trigonometric functions most widely used in modern mathematics are the sine (sin), the cosine (cos) , and the tangent (tan). Their reciprocals are respectively the cosecant (csc), the secant (sec), and the cotangent (cot), which are less used. Modern definitions express trigonometric functions as infinite series or as solutions of differential equations. This allows extending the domain of sine and cosine functions to the whole complex plane, and the domain of the other trigonometric functions to the complex plane from which some isolated points are removed. Please have a look at the engaging presentation.

Arundathi Kuttappan

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