Find Amplitude, Period, and Phase Shift f(x)=2sin(x)

Problem

ƒ(x)=2*sin(x)

Solution

1. Identify the standard form of the trigonometric function, which is ƒ(x)=a*sin(b*(x−c))+d

2. Determine the value of a to find the amplitude. Here, a=2 The amplitude is |a|

|2|=2

3. Determine the value of b to find the period. In this function, b=1 The formula for the period of a sine function is (2*π)/|b|

(2*π)/1=2*π

4. Determine the value of c to find the phase shift. Since there is no horizontal shift inside the sine function, c=0

Phase Shift=0

Final Answer

Amplitude=2,Period=2*π,Phase Shift=0

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