SOLUTION: Determine the equation of the vertical asymptotes: y = cot(x - pi/6) Here is my solution, but is my answer correct? x - pi/6 = k pi x = pi/6 + k pi

Algebra ->  Trigonometry-basics -> SOLUTION: Determine the equation of the vertical asymptotes: y = cot(x - pi/6) Here is my solution, but is my answer correct? x - pi/6 = k pi x = pi/6 + k pi      Log On


   

Question 628290: Determine the equation of the vertical asymptotes:
y = cot(x - pi/6)
Here is my solution, but is my answer correct?
x - pi/6 = k pi
x = pi/6 + k pi
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Determine the equation of the vertical asymptotes:
y = cot(x - pi/6)
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You have vertical asymptotes when the angle is (2n+1)pi or 2npi
Solve:
x - pi/6 = 2npi
x = (2n+(1/6)pi where n = 0,1,2...
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OR
x - pi/6 = (2n+1)pi
x = (2n+(7/6))pi where n = 0,1,2...
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Cheers,
Stan H.