Determine the equations of asymptotes of the function y=tan(bx), where b>0
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Determine the equations of asymptotes of the function y=tan(bx), where b>0

[From: ] [author: ] [Date: 11-06-14] [Hit: ]
we see that vertical asymptotes will occur when division by zero occurs.cos(bx) = 0.From the unit circle,bx = π/2 ± πk ==> x = (π/2 ± πk)/b,where k is an integer.I hope this helps!......
PLEASE SHOW ME HOW TO GET THE ANSWER, I HAVE TO UNDERSTAND THE FULL WORK!! THX!

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Note that, since tan(bx) = sin(bx)/cos(bx), we see that vertical asymptotes will occur when division by zero occurs. We see that we are dividing by zero when:
cos(bx) = 0.

From the unit circle, this solves to yield the asymptotes to be:
bx = π/2 ± πk ==> x = (π/2 ± πk)/b,

where k is an integer.

I hope this helps!
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