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

Problem

y=tan(x)

Solution

1. Identify the standard form of the tangent function, which is y=A*tan(B*(x−C))+D

2. Determine the amplitude. For the tangent function, the amplitude is undefined because the function values range from negative infinity to positive infinity and do not have a maximum or minimum displacement from the midline.

3. Calculate the period using the formula P=π/|B| In the given function y=tan(x) the coefficient B is 1

P=π/1=π

4. Identify the phase shift C In the expression y=tan(x) there is no horizontal displacement subtracted from x

C=0

Final Answer

Amplitude: Undefined, Period: *π*, Phase Shift: *0

Want more problems? Check here!