The function $y = 5 \cos \left( 1.5 t - \frac { \pi } { 3 } \right)$ models the displacement of an object moving in simple harmonic motion, where y is measured in inches and t in seconds. Find the amplitude, period, and frequency of motion and sketch a graph of the function over one complete period.

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The Answer of The function $y = 5 \cos \left( 1.5 t - \frac { \pi } { 3 } \right)$ models the displacement of an object moving in simple harmonic motion, where y is measured in inches and t in seconds. Find the amplitude, period, and frequency of motion and sketch a graph of the function over one complete period.

The Function y=5cos⁡(1.5t−π3)y = 5 \cos \left( 1.5 t - \frac { \pi } { 3 } \right)y=5cos(1.5t−3π​)

The Function $y = 5 \cos \left( 1.5 t - \frac { \pi } { 3 } \right)$