What is the asymptotes of f(x)=6csc(1/2 pix-1/6 pi) ?

The asymptotes of f(x)=6csc(1/2 pix-1/6 pi) is Vertical: x= 1/3+4n,x= 7/3+4n

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asymptotes of f(x)=6csc(1/2 pix-1/6 pi)

asymptotes

f (x) = 6 csc (\frac{1}{2} π x - \frac{1}{6} π)

Vertical : x = \frac{1}{3} + 4 n, x = \frac{7}{3} + 4 n

Solution steps

Vertical asymptotes of

6 csc (\frac{1}{2} π x - \frac{1}{6} π) : x = \frac{1}{3} + 4 n, x = \frac{7}{3} + 4 n

Horizontal Asymptotes of

6 csc (\frac{1}{2} π x - \frac{1}{6} π) :

None

Slant Asymptotes of

6 csc (\frac{1}{2} π x - \frac{1}{6} π) :

None

Vertical : x = \frac{1}{3} + 4 n, x = \frac{7}{3} + 4 n

f (x) = \frac{x ^{2} - x - 6}{x ^{2} - 7 x + 10}

f (x) = 5 x^{2} + 10 x + 6

f (x) = 2 x^{2} - x - 3

f (x) = \frac{6}{x + 4}

f (x) = x^{4} - 4 x^{2}

What is the asymptotes of f(x)=6csc(1/2 pix-1/6 pi) ?
The asymptotes of f(x)=6csc(1/2 pix-1/6 pi) is Vertical: x= 1/3+4n,x= 7/3+4n