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I need help. Thank you :)

 

For the function r(x) = 3/4cot(x) the asymptotes occur at ____ radians.

 Oct 3, 2014

Best Answer 

 #1
avatar+23254 
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Since  cot(x)  =  cos(x)/sin(x),  the  cot(x)  will be undefined whenever  sin(x) = 0  and these are the locations of the asmyptotes of the function. 

sin(x) = 0  at  0  radians,  ± π radians,  ± 2π  radians,  ...

 Oct 3, 2014
 #1
avatar+23254 
+5
Best Answer

Since  cot(x)  =  cos(x)/sin(x),  the  cot(x)  will be undefined whenever  sin(x) = 0  and these are the locations of the asmyptotes of the function. 

sin(x) = 0  at  0  radians,  ± π radians,  ± 2π  radians,  ...

geno3141 Oct 3, 2014

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