SOLUTION: Find an equation of a tangent function with period 3𝜋 and phase shift pi/2

Algebra.Com
Question 1195467: Find an equation of a tangent function with period 3𝜋 and phase shift pi/2
Found 3 solutions by Alan3354, greenestamps, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find an equation of a tangent function with period 3𝜋 and phase shift pi/2
-----------------------
y = tan((x/3) - pi/6)
or
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


A general form of a tangent function is



a determines the steepness of the graph
the period is (pi)/b
c is the phase (horizontal) shift
d is the vertical shift

This problem puts no requirement on the steepness of the graph or the vertical shift, so we can let a=1 and d=0, giving us



This problem says the period should be 3pi, so




And the phase shift is given as pi/2.

So b=1/3 and c=pi/2:

ANSWER:

That can be written in many forms; for example,
Answer by ikleyn(52793)   (Show Source): You can put this solution on YOUR website!

RELATED QUESTIONS

Find an equation of a tangent function with period 5𝜋 and phase shift 𝜋/2 (answered by MathLover1)
equation for tangent function with a period of 3 pi/8 and phase shift of... (answered by lwsshak3)
Write an equation for the tangent function with the period of 3pi/8, phase shift -pi/5,... (answered by lwsshak3)
Write the equation of a sine function with an amplitude of 2, period pi, and phase shift... (answered by lwsshak3)
Write an equation for the tangent function with a period (π/3), phase shift... (answered by lwsshak3)
write an equation of the cosine function with amplitude 2, period pi,and phase shift... (answered by Edwin McCravy)
Write an equation of a sine function with the given amplitude=3 period=2pi/3 and phase... (answered by stanbon)
Write a sine function with the given amplitude, period, phase shift, and vertical shift. (answered by lwsshak3)
Write a reflection of a sine function with a period of 2 pi, an amplitude of 1/2, and a... (answered by Fombitz)