Learning objects Trig degrees: tangent to 360

TLF ID L7846

Use a unit circle tool to explore tangent values in different quadrants. Determine the tan Ø values for angles between 0° and 360°. Observe the symmetry and patterns of the functions to predict the behaviour of tan Ø in different quadrants. Observe the graph animate and visually connect it with the unit circle tool and table values. Extend tan Ø for angles beyond 360°. Find out how trigonometry relates to the real world. This learning object is one in a series of nine 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 tangent function.
  • Students interpret a graph of tan Ø, from 0° to 360°.
  • Students identify patterns and symmetry of the tangent function.
Educational value
  • Enables students to compare and understand the key features of the tangent function (from 0° to 360°).
  • Provides an interactive unit circle tool to ensure students work with general definitions of the tangent function, connected to the right-angled triangle definition.
  • Includes challenges that highlight the symmetry and patterns of the tangent function.
  • Contains associations with real-world periodic phenomena that are modelled with trigonometric functions.
Year level

10; 11; 12

Learning area
  • mathematics
  • Mathematics/Number and algebra
  • Mathematics/Measurement and geometry
    Student activity
    • Interactives;
    • Experiment;
    • Analysis;
    • Modelling;
    • Multiple choice questions;
    • Data manipulation and interpretation

    Other details

    • Script writer
    • Organisation: Erica Dale; Tungaroo Software
    • Address: Manly NSW 2095 Australia
    • Educational validator
    • Organisation: Paul White
    • Address: Strathfield NSW 2135 Australia
    • Publisher
    • Date of contribution: 20 Sep 2013
    • Organisation: Education Services Australia
    • Address: Melbourne VIC 3000 Australia
    • URL: http://www.esa.edu.au/
    • Subject matter expert
    • Organisation: Will Morony
    • Address: Adelaide SA 5000 Australia
    • Technical implementer
    Access profile
    • Colour independence
    • Hearing independence
    Learning resource type
    • Interactive Resource
    • 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
    • © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.