Graphing trigonometric functions

  1. \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.
  2. \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.
  3. \rhd Features of sinusoidal functions (4:57) Identifying the midline (not covered in MAT 1375), amplitude and period.
  4. * Practice: Find the amplitude of sinusoidal functions from their graphs. ( 4 problems)
  5. * Practice: Find the period of sinusoidal functions from their graphs. ( 4 problems)
  6. \rhd Amplitude and period of sinusoidal functions from equation (8:20) Determine the amplitude and the period of y=-\dfrac{1}{2}\cos(3x).
  7. * Practice: Find the amplitude of sinusoidal functions from their equations. ( 4 problems)
  8. * Practice: Find the period of sinusoidal functions from their equations. ( 4 problems)
  9. \rhd Sketching the graph over a complete cycle (16:59) Given 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.
  10. \rhd Sketching the graph over a complete cycle (12:47) Given -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.