Summary
The video provides a comprehensive guide on graphing sine, cosine, and tangent trigonometric functions. It explains the step-by-step process of determining amplitude, period, critical points, and key values for each function. Special emphasis is given to understanding the behavior of the functions around critical points like ( \frac{\pi}{2} ) and ( -\frac{\pi}{2} ). The tabulation method is used to aid in graphing and identifying key features of each function. Whether you're a beginner or seeking to deepen your understanding of trigonometric functions, this video offers valuable insights.
Introduction and Graphing of Sine Function
Explanation on how to obtain the graph, amplitude, and period of sine, cosine, and tangent trigonometric functions starting with the sine function. Tabulation method and understanding values for graphing are discussed.
Graphing of Sine Function
Detailed explanation of graphing the sine function, including tabulation, identification of key points (maxima, minima), amplitude determination, and period calculation.
Graphing of Cosine Function
Guidance on graphing the cosine function, tabulation method, key points identification, amplitude interpretation, and period calculation.
Graphing of Tangent Function
Explanation on graphing the tangent function, tabulation technique, identifying critical points, and understanding the amplitude and period. Special focus on the behavior around ( \frac{\pi}{2} ) and ( -\frac{\pi}{2} ).
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