Difference between revisions of "Trigonometric functions"
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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' | + | brd.createElement('line',[p0,p2],{straightFirst:false,straightLast:false,strokeColor:'black'}); // Hypotenuse |
| − | brd.createElement('line',[p2,p3],{straightFirst:false,straightLast:false,strokeColor:'red' | + | brd.createElement('line',[p2,p3],{straightFirst:false,straightLast:false,strokeColor:'red'}); // sin |
| − | brd.createElement('line',[p2,p4],{straightFirst:false,straightLast:false,strokeColor:'red' | + | 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 | + | 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' | + | brd.createElement('line',[p0,p5],{straightFirst:false,straightLast:false,strokeColor:'green'}); // sec |
| − | brd.createElement('line',[p0,p5],{straightFirst:false,straightLast:false,strokeColor:'green' | ||
brd.createElement('text',[ | brd.createElement('text',[ | ||
Revision as of 10:35, 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]
