Trigonometric functions: Difference between revisions
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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 08:35, 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]\displaystyle{ \tan x = \frac{\sin x}{\cos x} }[/math]
- Cotangent: [math]\displaystyle{ \cot x = \frac{\cos x}{\sin x} }[/math]
- Secant: [math]\displaystyle{ \sec x = \frac{1}{\cos x} }[/math]
- Cosecant: [math]\displaystyle{ \csc x = \frac{1}{\sin x} }[/math]
