Difference between revisions of "Trigonometric functions"

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Line 18: Line 18:
 
var p4 = brd.createElement('point',[0.0,function(){return p2.Y();}],{visible:false,name:'',withLabel:false});
 
var p4 = brd.createElement('point',[0.0,function(){return p2.Y();}],{visible:false,name:'',withLabel:false});
  
brd.createElement('line',[p0,p2],{straightFirst:false,straightLast:false,strokeColor:'black',withLabel:false});  // Hypotenuse
+
brd.createElement('line',[p0,p2],{straightFirst:false,straightLast:false,strokeColor:'black'});  // Hypotenuse
brd.createElement('line',[p2,p3],{straightFirst:false,straightLast:false,strokeColor:'red',withLabel:false});    // sin
+
brd.createElement('line',[p2,p3],{straightFirst:false,straightLast:false,strokeColor:'red'});    // sin
brd.createElement('line',[p2,p4],{straightFirst:false,straightLast:false,strokeColor:'red',withLabel:false});    // cos
+
brd.createElement('line',[p2,p4],{straightFirst:false,straightLast:false,strokeColor:'red'});    // cos
  
 
var t = brd.createElement('tangent',[p2],{visible:false});
 
var t = brd.createElement('tangent',[p2],{visible:false});
 
var p5 = brd.createElement('point',[brd.intersectionFunc(t,ax,0)],{visible:false,name:'',withLabel:false});
 
var p5 = brd.createElement('point',[brd.intersectionFunc(t,ax,0)],{visible:false,name:'',withLabel:false});
 
var p6 = brd.createElement('point',[brd.intersectionFunc(t,ay,0)],{visible:false,name:'',withLabel:false});
 
var p6 = brd.createElement('point',[brd.intersectionFunc(t,ay,0)],{visible:false,name:'',withLabel:false});
brd.createElement('line',[p5,p6],{straightFirst:false,straightLast:false,withLabel:false});                      // tan + cot
+
brd.createElement('line',[p5,p6],{straightFirst:false,straightLast:false});                      // tan + cot
 
+
brd.createElement('line',[p0,p6],{straightFirst:false,straightLast:false,strokeColor:'green'});  // csc
brd.createElement('line',[p0,p6],{straightFirst:false,straightLast:false,strokeColor:'green',withLabel:false});  // csc
+
brd.createElement('line',[p0,p5],{straightFirst:false,straightLast:false,strokeColor:'green'});  // sec
brd.createElement('line',[p0,p5],{straightFirst:false,straightLast:false,strokeColor:'green',withLabel:false});  // sec
 
  
 
brd.createElement('text',[
 
brd.createElement('text',[

Revision as of 09:35, 23 June 2009

The well known trigonometric functions can be visualized on the circle of radius 1. See http://en.wikipedia.org/wiki/Trigonometric_functions for the definitions.

  • Tangent: [math]\tan x = \frac{\sin x}{\cos x}[/math]
  • Cotangent: [math]\cot x = \frac{\cos x}{\sin x}[/math]
  • Secant: [math]\sec x = \frac{1}{\cos x}[/math]
  • Cosecant: [math]\csc x = \frac{1}{\sin x}[/math]