SOLUTION: This is a question on a practice test that I don't know how to solve or get the answer too. Can you please help me? Your time and effort is greatly appreciated! Where are the as

Algebra ->  Test -> SOLUTION: This is a question on a practice test that I don't know how to solve or get the answer too. Can you please help me? Your time and effort is greatly appreciated! Where are the as      Log On


   

Question 873668: This is a question on a practice test that I don't know how to solve or get the answer too. Can you please help me? Your time and effort is greatly appreciated!
Where are the asymptotes of f(x) = tan(4x − π) from x = pi/4 to x = 5 pi/4?
a) x= pi/4, x=3pi/4
b) x= 0, x= pi/4
c) x= pi/2, x= 3pi/2
d) x= 3pi/8, x= 5pi/8
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Since tan(x) = sin(x)/cos(x), the asymptotes of this function are found at the points where cos(x) = 0
In this case, replace x with 4x+-+pi
The zeros of the cosine function are at n%2Api%2F2 n=1,3,5...
4x-pi+=+pi%2F2+-%3E+x+=+3%2Api%2F8
4x-pi+=+3%2Api%2F2+-%3E+x+=+5%2Api%2F8