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  Trigonometry
   Trigonometric Formulas

Trigonometry

Trigonometric functions are related with the properties of triangles. Some laws and formulas are also derived to tackle the problems related to triangles, not just right-angled triangles.

Trigonometric Formulas

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With the introduction of the semiperimeter concept, the trigonometric functions can also be expressed in term of the semi-perimeter of a triangle or sides of a triangle. From the cosine rules, the cosine function of an internal angle of a triangle which is expressed in term of the sides of a triangle can also be transformed in term of semiperimeter. Imply

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The sine function of an internal angle of a triangle can also be obtained by equating the area of triangle formulas and the Heron's formula together.   Imply

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The sine and cosine functions of an internal angle of a triangle can also be expressed in terms of sides of triangle. Imply

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The tangent function of an internal angle of a triangle can also be expressed in terms of sides of triangle using the sine and cosine function of the internal angle accordingly. Imply

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ID: 130600024 Last Updated: 6/21/2013 Revision: 0 Ref:

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References

  1. B. Joseph, 1978, University Mathematics: A Textbook for Students of Science & Engineering
  2. Ayres, F. JR, Moyer, R.E., 1999, Schaum's Outlines: Trigonometry
  3. Hopkings, W., 1833, Elements of Trigonometry
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