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

Problem

y=cot(x)

Solution

1. Identify the function type and its standard form. The given function is y=cot(x) which follows the general form y=A*cot(B*(x−C))+D

2. Determine the amplitude. For trigonometric functions like tangent and cotangent, the graph extends to infinity in both vertical directions. Therefore, the concept of amplitude does not apply to the cotangent function.

3. Calculate the period. The standard period for the cotangent function is π Using the formula Period=π/|B| where B=1

Period=π/1=π

4. Identify the phase shift. The phase shift is determined by the value of C in the expression B*(x−C) Since there is no horizontal shift added or subtracted from x

Phase Shift=0

Final Answer

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

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