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SpyIntel [72]
3 years ago
5

What is the vertical asymptote of the function 1 over (cos pi x over 2)?

Mathematics
1 answer:
NemiM [27]3 years ago
7 0

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}}

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<em>Given </em>

<em>circumference </em><em>=</em><em> </em><em>1</em><em>2</em><em> </em><em>inch</em>

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<em>radius </em><em>(</em><em>r) </em><em> </em><em>=</em><em> </em><em>?</em>

<em>We </em><em>know </em>

<em>circumference </em><em>=</em><em> </em><em>2</em><em>π</em><em>r </em>

<em>1</em><em>2</em><em> </em><em> </em><em>=</em><em> </em><em>2</em><em>*</em><em> </em><em>3</em><em>.</em><em>1</em><em>4</em><em> </em><em>*</em><em> </em><em>r</em>

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