Close message Scootle will stop supporting resources that use the Adobe Flash plug-in from 18 Dec 2020. Learning paths that include these resources will have alerts to notify teachers and students that one or more of the resources will be unavailable. Click here for more info.

Learning objects Trig radians: cosine

TLF ID L7850

Use a unit circle tool to explore cosine values in different quadrants. Determine the cos Ø values for angles between 0 and 2π radians. Observe the symmetry and patterns of the functions to predict the behaviour of cos Ø in different quadrants. Observe the graphs animate and visually connect them with the unit circle tool and table values. Extend cos Ø for angles beyond 2π radians. Find out how trigonometry relates to the real world. This learning object is one in a series of seven objects. Three objects in the series are also packaged as a combined learning object.



Educational details

Key learning objectives
  • Students apply the unit circle definitions of the cosine function for angles expressed in radians.
  • Students interpret a graph of cos Ø, from 0 to 2π radians.
  • Students identify patterns and symmetry of the cosine function.
Educational value
  • Enables students to compare and understand the key features of the cosine function (from 0 to 2π radians).
  • Provides an interactive unit circle tool to ensure students work with general definitions of the cosine function, connected to the right-angled triangle definition.
  • Includes challenges that highlight the symmetry and patterns of the cosine function.
  • Contains associations with real-world periodic phenomena that are modelled with trigonometric functions.
Year level

11; 12

Learning area
  • mathematics
Strand
  • Mathematics/Algebra
Student activity
  • Interactives;
  • Experiment;
  • Analysis;
  • Modelling;
  • Data manipulation and interpretation

Other details

Contributors
  • Script writer
  • Name: Erica Dale
  • Organisation: Tungaroo Software
  • Address: Manly NSW 2095 Australia
  • Subject matter expert
  • Name: Ron Barassi
  • Address: Melbourne VIC 3000 Australia
  • Subject matter expert
  • Name: Will Morony
  • Address: Adelaide SA 5000 Australia
  • Educational validator
  • Name: Paul White
  • Address: Strathfield NSW 2135 Australia
  • Technical implementer
  • 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.