Harken43

2022-02-17

For $f\left(x\right)=\frac{1}{\mathrm{cos}x}$ what is the equation of the tangent line at $x=\frac{3\pi }{2}$?

Cicolinif73

Explanation:
$\mathrm{cos}\left(\frac{3\pi }{2}\right)=0$, so
$f\left(\frac{3\pi }{2}\right)$ does not exists,
so there is no point on the graph of f that has $x=\frac{3\pi }{2}$.
Therefore, there can be no tangent line at $x=\frac{3\pi }{2}$.

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