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

Problem

y=cot(x/2)

Solution

1. Identify the standard form of the cotangent function, which is y=a*cot(b*x−c)+d In this equation, a=1 b=1/2 c=0 and d=0

2. Determine the amplitude, which is technically undefined for trigonometric functions like cotangent because they extend to infinity. However, the vertical stretch factor is |a|=1

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

P=π/(1/2)

P=2*π

4. Calculate the phase shift using the formula c/b Since c=0 the phase shift is 0

Final Answer

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

Want more problems? Check here!