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  • 06-08-2018
  • Mathematics
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What is the vertical asymptote of the function 1 over (cos pi x over 2)?

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gmany
gmany gmany
  • 14-08-2018

[tex] f(x)=\dfrac{1}{\cos\frac{x}{2}}\\\\\cos\dfrac{x}{2}=0\iff\dfrac{x}{2}=\dfrac{\pi}{2}+k\pi\ \ \ \ \ |\cdot2\\\\\boxed{x=\pi+2k\pi,\ k\in\mathbb{Z}} [/tex]

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