Thursday 17 May 2012

Trigonometry: The Six Functions

     Trigonometry meaning the study of triangles is basically defined as an art resulting from a mixture of Algebra and Geometry. Trigonometry is one of the most interesting types of math around and it can be used to solve many real world problems. Today we will discuss the six basic trig functions.

The six basic trig functions are listed below
Sine           Co-secant
Cosine       Secant
Tangent      Cotangent

These Functions are used to find angles and sides in triangles and solve triangles here are there definitions.
Use the triangle above for reference.
Sine= Opposite/Hypotenuse        Co-secant= reciprocal of Sine
Cosine= Adjacent/Hypotenuse    Secant=reciprocal of Cosine
Tangent= Opposite/ Adjacent       Cotangent=reciprocal of tangent

Example Question:
In Triangle ABC A=30 degrees and a=3 what is the hypotenuse?
Sin(30)= opp./hyp. = 3/x
1/2=3/x
x=6

This an example of how a trig function would be used.

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