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What's the graph or table of values of $y=\csc(x) + \cot(x)$? I have already solved and graphed the values of $\csc(x)$ and $\cot(x)$.

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3 Answers

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Hint:

First write $$f(x)=\csc(x)+\cot(x)=\frac{1}{\sin x}+\frac{\cos x}{\sin x}=\frac{1+\cos x}{\sin x}$$ Now find the asymptotes, zeros and limiting behaviour around the asymptotes.

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graph of $$\csc { \left( x \right) } +\cot { \left( x \right) } $$

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The OP has asked for a table of values, so here it goes.

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