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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

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

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

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

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