Learn how to plot and recognise the Sine, Cosine and Tangent graphs.
Key Concepts:
* Explore the concept of periodic functions, where the graph repeats itself after a certain interval.
* Delve into the three fundamental trigonometric functions - sine, cosine, and tangent - and their graphical representations.
* Discover the connection between trigonometric functions and the unit circle, a powerful tool for visualisation.
By the End of This Video, You'll Be Able To:
* Plot the graphs of sine, cosine, and tangent functions.
* Unit Circle Approach: Utilise the unit circle to visualise the relationship between angles and function values, then translate those values into graph points.
* Recognise the characteristic features of each graph:
* Sine graph: A wave-like pattern with a period of 2π (360 degrees), oscillating between +1 and -1.
* Cosine graph: Similar to sine but shifted horizontally by π/2 (90 degrees), also oscillating between +1 and -1.
* Tangent graph: A periodic function with vertical asymptotes at regular intervals and no defined y-value at those points.
* Differentiate between the three graphs based on their unique periodic behaviour, amplitude (range of values), and midline (horizontal position of the centre).
Keywords (SEO):
Sine Function, Cosine Function, Tangent Function, Periodic Functions, Unit Circle, Plotting Techniques,, Graph Recognition, Amplitude, Midline, Asymptotes, Trigonometry, Math Problems
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28 июн 2024
