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= Waves in mathematical applications =

==== A wave is a propagation of a disturbance of some property of a medium, for example, density, pressure, electric field or magnetic field, which propagates through space carrying energy. The medium may be disrupted diverse in nature as air, water, a piece of metal or vacuum. ====

==== Mechanical waves: mechanical waves need an elastic medium, for example: solid or liquid, to propagate. The particles of the medium oscillate around a fixed point, so there is no net transport of matter through the medium. ====

==== Electromagnetic waves: electromagnetic waves propagated in space without a medium, and can therefore travel through a vacuum. This is because electromagnetic waves are produced by the oscillations of an electric field in conjunction with an associated magnetic field.====

==== The waves are important for science because it contributes to the technological advances in many areas. for example in biology for the study of communication between the bat or in mathematics for the study of simple wave system. ====

Where A is amplitude or opposite leg, B is an angle between the hypotenuse and adjacent leg and k is Wavelength.
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