Learning objects Trigonometry: finding angles

TLF ID L2335

Look at an explanation of the trigonometric ratios: sine, cosine and tangent. Adjust the angles of a right-angled triangle within a unit circle (radius of one unit). Set the cosine, sine and tangent values of angles from 0–90 degrees. Identify the angle for each of the values. This learning object is one in a series of ten objects.



Educational details

Key learning objectives
  • Students explore the unit circle definition of trigonometric ratios.
  • Students use a unit circle model to identify the magnitude of angles corresponding to given trigonometric ratios.
Educational value
  • Models definitions of the trigonometric ratios using a unit circle.
  • Provides a visual tool to determine the magnitude of angles from 0–90 degrees from trigonometric values.
  • Displays trigonometric values to three decimal places and angles as whole numbers.
Year level

9; 10

Learning area
  • mathematics
Strand
  • Mathematics/Measurement and geometry
    Concept
    • Mathematics/Angles
    • Mathematics/Similarity
    • Mathematics/Ratio and proportion
    • Mathematics/Triangles
    • Mathematics/Trigonometry
    Skill
    • Analysis;
    • Application;
    • Comprehension;
    • Knowledge
    Student activity
    • Interactives;
    • Analysis;
    • Modelling
    Learning design
    • Experiential learning;
    • Independent learning;
    • Problem solving;
    • Visual learning

    Other details

    Contributors
    • Technical implementer
    • Script writer
    • Name: Rod Rees
    • Organisation: Rees Films Pty Ltd
    • Address: Blackburn VIC 3105 Australia
    • Subject matter expert
    • Name: Howard Reeves
    • Address: Lindisfarne TAS 7015 Australia
    • Publisher
    • Date of contribution: 20 Sep 2013
    • Organisation: Education Services Australia
    • Address: Melbourne VIC 3000 Australia
    • URL: http://www.esa.edu.au/
    Access profile
    • Colour independence
    • Hearing independence
    Learning resource type
    • Interactive Resource
    Browsers
    • Microsoft Internet Explorer - minimum version: 8.0 (MS-Windows) - maximum version: 9.0 (MS-Windows)
    • Firefox - minimum version: (MS-Windows)
    • Safari - minimum version: 5.1 (MacOS)
    Operating systems
    • MacOS - minimum version: 10.6
    • MS-Windows - minimum version: XP - maximum version: 7
    Rights
    • © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.