Find Amplitude, Period, and Phase Shift y=3sin(x-pi/4)

Problem

y=3*sin(x−π/4)

Solution

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

2. Determine the amplitude by taking the absolute value of the coefficient A where A=3

3. Calculate the period using the formula P=(2*π)/|B| where B=1

4. Identify the phase shift C from the expression (x−C) where C=π/4

Final Answer

Amplitude=3

Period=2*π

Phase Shift=π/4

Want more problems? Check here!