SOLUTION: Find the amplitude, if it exists, and the period of: y=tan(1/4Ө). Thank You

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Question 44298: Find the amplitude, if it exists, and the period of: y=tan(1/4Ө).
Thank You
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
Find the amplitude, if it exists, and the period of: y = tan(1/4·q).

There is no "amplitude" for tangent, cotangent, secant, or cosecant 
functions. Only sines and cosines have amplitudes.

But all have periods.

1.  The period of y = A·sin(Bx), y = A·cos(Bx), y = A·sec(Bx), 
    and y = A·csc(Bx) is |2p/B|.

2.  The period of y = A·tan(Bx) and  y = A·cot(Bx), is |p/B|.

So the period of y = tan(1/4·q) is |p/(1/4)| = p÷(1/4) = p×(4/1) = 4p

Edwin
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