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Tuesday, November 27, 2007

Inverse Trigonometric Functions Period

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The period of each of the 6 trigonometric functions: sin (x), cos (x), tan(x), cot (x), sec (x) and csc (x). Before you start the tutorial, you might want to work through a tutorial on periodic functions . We use the definition of a periodic function

f(x) = f(x + P) , where P is a real number

to explore and find values of the periods of the above functions. The applet below is used to display the graph of f (blue) and the graph of f shifted (red). Starting from P = 0, P is changed slowly till the two graph are identical and f(x) = f(x + P).

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