CURVED GRAPHS 4 | Plot and Recognise Trigonometric Graphs (sine, Cosine and Tangent)

  Рет қаралды 38

Free Maths Videos

Free Maths Videos

12 күн бұрын

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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