Disclaimer: The material in the videos below comes mainly from outside City Tech. The presentation in these videos may differ from the one given in your class. Please consult with your instructor to confirm whether a particular approach is acceptable in your class.
- $\rhd$ Graph of $y=\sin(x)$ (9:21) Graphing the sine function using the unit circle. It includes a discussion on the domain and range of the sine function.
- $\rhd$ Graph of $y=\tan(x)$ (10:11) Graphing the tangent function using the unit circle. It includes a discussion on the domain and range of the sine function.
- $\rhd$ Amplitude and period of sinusoidal functions from equation (8:20) Determine the amplitude and the period of $y=-\dfrac{1}{2}\cos(3x)$.
- $\rhd$ Sketching the graph over a complete cycle (16:59) Given $y=3\cos(2x+\pi)$, state the amplitude, period and phase shift, and then sketch one complete cycle of the graph. Label all maximum, minimum and intercepts.
- $\rhd$ Sketching the graph over a complete cycle (12:47) Given $y=-2\sin\left(4x+\dfrac{\pi}{2}\right)$, state the amplitude, period and phase shift, and then sketch one complete cycle of the graph. Label all maximum, minimum and intercepts.
- $\rhd$ Sketching the graph over a complete cycle (6:50) Given $y=2\sin\left(2x-\pi\right)$, state the amplitude, period and phase shift, and then sketch one complete cycle of the graph. Label all maximum, minimum and intercepts.
- * Practice: Find the amplitude of sinusoidal functions from their equations. ( 4 problems)
- * Practice: Find the period of sinusoidal functions from their equations. ( 4 problems)
- $\rhd$ Features of sinusoidal functions (4:57) Identifying the midline (not covered in MAT 1375), amplitude and period.
- * Practice: Find the amplitude of sinusoidal functions from their graphs. ( 4 problems)
- * Practice: Find the period of sinusoidal functions from their graphs. ( 4 problems)
Application:
- $\rhd$ Sound Properties: Amplitude, period, frequency, wavelength (5:16) Application of sinosoidal functions in sound waves
