Find Amplitude, Period, and Phase Shift f(x)=sin(x)

Problem

ƒ(x)=sin(x)

Solution

1. Identify the standard form of the sine function, which is ƒ(x)=A*sin(B*(x−C))+D

2. Determine the coefficients from the given function ƒ(x)=sin(x) where A=1 B=1 C=0 and D=0

3. Calculate the amplitude using the formula |A|

|1|=1

4. Calculate the period using the formula (2*π)/|B|

(2*π)/|1|=2*π

5. Calculate the phase shift using the value of C

C=0

Final Answer

Amplitude=1,Period=2*π,Phase Shift=0

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