Posted by **Emily** on Friday, March 28, 2014 at 10:26pm.

What is the period and amplitude of y=3tan(2/3x-pi/6)?

Thanks!

- Math/precalc -
**Damon**, Friday, March 28, 2014 at 11:09pm
I do not think amplitude means much for a tangent function which goes to infinity twice a period so I would not say 3 but maybe undefined.

when the x term increases to 2 pi from 0 we have gone a period so

(2/3) x = 2 pi

x = 3 pi when we have gone a period

period = 3 pi

- Math/precalc -
**Damon**, Friday, March 28, 2014 at 11:13pm
Sorry

tangent period is pi, not 2 pi so

(2/3) x = 1 pi

x = 3 pi/2 = period

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