Find Amplitude, Period, and Phase Shift y=tan(x/2)

Problem

y=tan(x/2)

Solution

1. Identify the general form of the tangent function y=A*tan(B*(x−C))+D In this expression, A=1 B=1/2 C=0 and D=0

2. Determine the amplitude. For the tangent function, the amplitude is undefined because the function values range from −∞ to ∞ Some contexts refer to the vertical stretch factor |A| which is 1

3. Calculate the period using the formula P=π/|B|

P=π/(1/2)

P=2*π

4. Find the phase shift using the value of C Since there is no horizontal shift inside the argument of the tangent function, the phase shift is 0

Final Answer

Amplitude: None, Period: *2*π*, Phase Shift: *0

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