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Trigonometric Functions

  • John Berry
  • Patrick Wainwright
Chapter

Abstract

When you have completed this chapter you should be able to
  1. 1.

    state the convention for measuring angles

     
  2. 2.

    define sine and cosine as projections of a unit vector

     
  3. 3.

    sketch the graphs of sine, cosine and tangent

     
  4. 4.

    find the primary and secondary solutions to sine and cosine equations

     
  5. 5.

    state the period and the equations of the asymptotes of the tangent function

     
  6. 6.

    obtain the general solution to a trigonometric equation

     
  7. 7.

    obtain solutions within a specified range to a trigonometric equation

     
  8. 8.

    solve more complex trigonometric equations, including squares, multiple angles and phase angles

     
  9. 9.

    define sec, cosec and cot in terms of cos, sin and tan

     
  10. 10.

    sketch graphs of the form a sin(bx + c), a cos(bx + c) and a tan(bx + c) and determine their amplitude and period

     
  11. 11.

    convert from degrees to radians, and from radians to degrees

     
  12. 12.

    sketch graphs and solve equations using radians for angles

     
  13. 13.

    use trigonometric functions to model mechanical vibrations and alternating currents

     

Keywords

Sine 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© John Berry and Patrick Wainwright 1991

Authors and Affiliations

  • John Berry
  • Patrick Wainwright

There are no affiliations available

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