SOLUTION: what is the period of the following function? y=2tan(3x-pie/2) 1. 1 2. pie 3 pie/3 4. pie/2 5. 2pie/3 please show work and thankyou for your help v/r, bobby

Algebra ->  Trigonometry-basics -> SOLUTION: what is the period of the following function? y=2tan(3x-pie/2) 1. 1 2. pie 3 pie/3 4. pie/2 5. 2pie/3 please show work and thankyou for your help v/r, bobby      Log On


   

Question 224461: what is the period of the following function?
y=2tan(3x-pie/2)
1. 1
2. pie
3 pie/3
4. pie/2
5. 2pie/3
please show work and thankyou for your help
v/r,
bobby
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
what is the period of the following function?
y=2tan(3x-pie/2)
1. 1
2. pie
3 pie/3
4. pie/2
5. 2pie/3
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tan(x) has a period of 2pi (all trig functions do)
Functions of 3x have a period 1/3 as long, since their value increases 3 times as fast.
--> 2pi/3 for the period.
PS It's pi, the Greek letter, not pie, the dessert.