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

Problem

y=sin(2*x)

Solution

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

2. Determine the values of the constants from the given equation y=sin(2*x) where A=1 B=2 C=0 and D=0

3. Calculate the amplitude using the formula Amplitude=|A|

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

5. Calculate the phase shift using the value of C from the horizontal shift x−C

Final Answer

Amplitude=1

Period=π

Phase Shift=0

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