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Mathematics 19 Online
OpenStudy (anonymous):

trigonometry question

OpenStudy (anonymous):

if y=cot2(x+(pi/4) ) what is theleast positive value for k for which x=k is an asymptote for a function

OpenStudy (agent0smith):

cotx = cosx/sinx so for your function, find where sin2(x+pi/4) = 0, as that'll be a vertical asymptote

OpenStudy (anonymous):

oh wow, it's that simple?

OpenStudy (agent0smith):

Yep, then just find the smallest positive value for x

OpenStudy (anonymous):

so i would graph it and see?

OpenStudy (anonymous):

gotcha, thank you

OpenStudy (agent0smith):

You could but you can solve that equation by hand

OpenStudy (agent0smith):

sinx = 0 when x = 0 + n*pi sin2(x+pi/4) = 0 so 2(x+pi/4) = 0 + n*pi

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