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

## Answer This Question

## Related Questions

- Math - Write an equation and for each sine function described. Each cycle behind...
- Trig(Last 6 questions to check. Thanks to EVERYONE - Find the amplitude, if it ...
- Trig - Find the amplitude, if it exists, and the period of: y=tan1/4x. no ...
- Math - Ft is a periodic function with a period of 7 and an amplitude of 3. What ...
- Math - Ft is a periodic function with a period of 7 and an amplitude of 3. What ...
- trig - list the period, amplitude, interval, and phase shift of: g(t)=5/2sint-pi...
- Physics - When a mass-spring system oscillates with a small amplitude of A1, it ...
- math - Find period and phase shift and amplitude of y=10sin(x/4)-4pi)-5? The ...
- Trigonometry - Write the equation of a sine wave (also called sine curve) given...
- Pre Cal. - State the amplitude, period, and phase shift of the function y=-3cos(...

More Related Questions