MATHEMATICS IN REAL LIFE



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STANDARDISATION OF UNITS

Measurements most commonly use the  International System of Units  (SI) as a comparison framework . The system defines seven   fundamental units :   kilogram ,   metre ,   candela ,   second ,   ampere ,   kelvin , and   mo le . Six of these units are defined without reference to a particular physical object which serves as a standard (artifact-free ), while the kilogram is still embodied in an artifact which rests at the headquarters of the   International Bureau of Weights and Measures   in   Sèvres   near Paris . Artifact-free definitions fix measurements at an exact value related to a   physical constant   or other invariable phenomena in nature, in contrast to standard artifacts which are subject to deterioration or destruction . Instead, the measurement unit can only ever change through increased accuracy in determining the value of the constant it is tied to.
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TRIGONOMETRY RATIOS

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Trigonometric ratios Main article:  Trigonometric function In this right triangle:  sin  A  =  a / c ;   cos  A  =  b / c ;   tan  A  =  a / b . Trigonometric ratios are the ratios between edges of a right triangle. These ratios are given by the following  trigonometric functions  of the known angle  A , where  a ,  b  and  c  refer to the lengths of the sides in the accompanying figure: Sine  function (sin), defined as the ratio of the side opposite the angle to the  hypotenuse . {\displaystyle \sin A={\frac {\textrm {opposite}}{\textrm {hypotenuse}}}={\frac {a}{c}}.} Cosine  function (cos), defined as the ratio of the  adjacent  leg (the side of the triangle joining the angle to the right angle) to the hypotenuse. {\displaystyle \cos A={\frac {\textrm {adjacent}}{\textrm {hypotenuse}}}={\frac {b}{c}}.} Tangent  functi...
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