Basic Trigonometry Curves & Degree / Radian Measure

 

 

A Degree measure equals 1/360 of a Circle since a Circle contains 360 Degrees.

 

A Radian measure equals the ratio (180/Pi): approximately 57.2958 degrees.

 

Pi  ( Π ) is a Constant  which equals the ratio (C/D): Circle Circumference to the Radius.

 

Basic Relationships:    Pi = 1800   2Pi = 3600     C=2 Pi x R   or   C = Pi x D

 

The Six Basic Curves of Trigonometry represent the movement of a Right Triangle about a Circle.

 

Sin A = O/H                 Cos A = A/H                     Tan A = O/A   

Csc A = H/O or 1/Sin A      Sec A = H/A or 1/Cos A      Cot A = A/O or 1/Tan A

 

@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@

 

Images from Free OnLine Graphing Calculator (GraphCalc)   http://www.graphcalc.com

 

@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@

 

 

Sin A:    - 2 Π    to    + 2 Π          ( Note:  Bumps of Sin = U’s of Csc )        Csc A:    - 2 Π    to    + 2 Π

 

            

 

 

 

Cos A:  - 2 Π    to    + 2 Π       ( Note:  Bumps of Cos = U’s of Sec )       Sec A:  - 2 Π    to    + 2 Π

 

 

              

 

 

 

Tan A:  - 2 Π    to    + 2 Π     ( Note: Similarities and Differences )            Cot A:   - 2 Π    to    + 2 Π

 

 

           

 

 

Images from Free OnLine Graphing Calculator (GraphCalc)   http://www.graphcalc.com

 

 

Tom Love                    Malone College                 Fall 2007