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CLIP 13575

How to sketch trig functions

How to sketch trig functions
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Key Info
  • How to sketch trig functions
  • A guide to sketching trigonometric waves in which an animated character attempts to heat a bowl of soup using a wave generating machine. The basic equation of a sine wave is shown and each part of the equation altered in turn to show how the amplitude, phase, horizontal shift and vertical shift can change. Both the sine wave and cosine wave are related to the unit circle and it is clearly shown how the y value in each wave equation changes as the radius is moved.
  • Subject:

    Maths

       Topic:

    Geometry

  • Keywords: BitesizeMaths, trig, trigonometry, wave, equation, waveform, angles
Ideas for use in class
  • Discuss with students what a wave equation is, using the example of the unit circle shown to relate the wave form to the more familiar trigonometry of angles and triangles. Break the wave equations down into their separate parts and have students work through how changing each part will change the wave. Show students a series of waves and have them work out what the equation is.
Background details
  • Clip language : English
  • Aspect ratio : 16x9

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