Six Basic Trigonometric Functions
In this section, we’ll briefly recapitulate the fundamentals of trigonometry, assuming that you’re already familiar with the material presented.
\((a)\;\;\; f (x) = sin\; x\)
\((b)\;\;\; f (x) = cos\; x\)
\((c)\;\;\; f (x) = tan \;x\)
\((d)\;\;\; f (x) = cot\; x\)
\((e)\;\;\; f (x) = sec\; x\)
\((f)\;\;\; f (x) = cosec\; x\)
It is important to be familiar with these six basic functions and their properties for further study of trigonometry.
Listed below are basic relations satisfied by these functions:
(A)
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(B)
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(C)
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The properties in (A) follow from the definitions of these functions, while those in (B) and (C) can be inferred from the graphs of these functions.
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