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

Problem

y=sin(θ)

Solution

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

2. Determine the value of A which represents the amplitude. In the given equation y=sin(θ) the coefficient of the sine function is 1

A=1

3. Determine the value of B to find the period. In this equation, the coefficient of θ is 1

B=1

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

Period=(2*π)/1=2*π

5. Identify the phase shift C Since there is no value subtracted from or added to θ inside the sine function, the phase shift is 0

C=0

Final Answer

Amplitude=1,Period=2*π,Phase Shift=0

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