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Manipulations with trigonometrical functions

The model demonstrates the process of construction the graph of function f(x) = 1/sqrt(tg(x)).

First, plot a graph of tg(x). These are red curves.

The function is not negative for x from [πn; π/2 + πn) where n is integer. So it is domain for function g(x) = sqrt(tg(x)). These are light green curves.

Initially construct a graph for 1/sqrt(tg(x)). A zero of g(x) becomes a positive infinity for 1/g(x) and vice versa. Blue curves are the resulted graph.

The model is a movie. To navigate through the movie use Play, Pause, Stop, Previous step and Next step buttons.

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