<iframe 
    src="https://jsxgraph.org/share/iframe/3d-curve-assessment" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: 3D Curve (assessment)" 
    allowfullscreen
></iframe>

<h4>From circle to sine, cosine and beyond</h4>

Change slider AZ from \(\pi\) to \(\frac{\pi}{2}\) and then EL from \(0\) to \(-\frac{\pi}{2}\). Then change the view as desired. 

<div id="board-0-wrapper" class="jxgbox-wrapper " style="width: 100%; ">
   <div id="board-0" class="jxgbox" style="aspect-ratio: 1 / 1; width: 100%;" data-ar="1 / 1"></div>
</div>


<h4>Result</h4>
[<span id="outputID">Change JSXGraph construction.</span>]

<script type = "text/javascript"> 
    /*
    This example is licensed under a 
    Creative Commons Attribution ShareAlike 4.0 International License.
    https://creativecommons.org/licenses/by-sa/4.0/
    
    Please note you have to mention 
    The Center of Mobile Learning with Digital Technology
    in the credits.
    */
    
    const BOARDID = 'board-0';

    // input data
    
    let input = {
        'coordinates':  { '-x': -3, '+x': 3, '-y': -3, '+y': 3, '-z': -3, '+z': 3 },
        'view':         { 'projection':  'parallel', 'trackball': true, 'controls': true, 'azimuth': Math.PI, 'elevation': 0},
        'axis':         { 'x': true, 'y': true, 'z': true, 'position': 'center'},
        'planeRear':    { 'x': true, 'y': true, 'z': true, 'axis': false, 'border': 3, 'mesh': true, 'color': '#dddddd'},
        'planeFront':   { 'x': true, 'y': true, 'z': true, 'axis': false, 'border': 3, 'mesh': false, 'color': 'none'}
    };
    
    // JSXGraph board
    
    let board = JXG.JSXGraph.initBoard(BOARDID, boardAttr());
    
    // JSXGraph 3D view
    
    let view = initBoard3D(board);
    
    // JSXGraph construction
    
    let a = board.create('slider', [[9, -5], [9, 5], [0, 1, 4]], { name: 'a', ...(sliderAttr()), ...(elAttr()) });
    
    
    let curve = view.create('curve3d', [
        (t) => (a.Value() * Math.sin(t)),
        (t) => t,
        (t) => (a.Value() * Math.cos(t)),
        [-Math.PI, Math.PI]
    ], {
        strokeWidth: 2,
        dash: 0
    });
    
        let circle = view.create('curve3d', [
            (t) => (a.Value() * Math.sin(t)),
            (t) => 0,
            (t) => (a.Value() * Math.cos(t)),
            [-Math.PI, Math.PI]
        ], {
            strokeWidth: 2,
            dash: 2
        });
    
    // Controls
    
    function initBoard3D(b) {
        let sliderA = sliderAttr();
    
        let elA = elAttr();
    
        let v = b.create('view3d', [[-5, -4], [10, 10], [[input['coordinates']['-x'], input['coordinates']['+x']], [input['coordinates']['-y'], input['coordinates']['+y']], [input['coordinates']['-z'], input['coordinates']['+z']]]],
            {
                projection: input['view']['projection'],
                trackball: { enabled: input['view']['trackball'] },
    
                // Main axes
                axesPosition: input['axis']['position'],
                xAxis: {visible: input['axis']['x'], strokeColor: '#888888', strokeWidth: 2},
                yAxis: {visible: input['axis']['y'], strokeColor: '#888888', strokeWidth: 2},
                zAxis: {visible: input['axis']['z'], strokeColor: '#888888', strokeWidth: 2},
    
                // Planes
                xPlaneRear: {
                    visible: input['planeRear']['x'] | input['planeRear']['border'],
                    strokeColor: '#dddddd',
                    strokeWidth: input['planeRear']['border'],
                    mesh3d: {visible: input['planeRear']['x'] & input['planeRear']['mesh']},
                    fillColor: input['planeRear']['x'] ? input['planeRear']['color'] : 'none'
                },
                yPlaneRear: {
                    visible: input['planeRear']['y'] | input['planeRear']['border'],
                    strokeColor: '#dddddd',
                    strokeWidth: input['planeRear']['border'],
                    mesh3d: {visible: input['planeRear']['y'] & input['planeRear']['mesh']},
                    fillColor: input['planeRear']['y'] ? input['planeRear']['color'] : 'none'
                },
                zPlaneRear: {
                    visible: input['planeRear']['z'] | input['planeRear']['border'],
                    strokeColor: '#dddddd',
                    strokeWidth: input['planeRear']['border'],
                    mesh3d: {visible: input['planeRear']['z'] & input['planeRear']['mesh']},
                    fillColor: input['planeRear']['z'] ? input['planeRear']['color'] : 'none'
                },
                xPlaneFront: {
                    visible: input['planeFront']['x'] | input['planeFront']['border'],
                    strokeColor: '#dddddd',
                    strokeWidth: input['planeFront']['border'],
                    mesh3d: {visible: input['planeFront']['x'] & input['planeFront']['mesh']},
                    fillColor: input['planeFront']['x'] ? input['planeFront']['color'] : 'none'
                },
                yPlaneFront: {
                    visible: input['planeFront']['y'] | input['planeFront']['border'],
                    strokeColor: '#dddddd',
                    strokeWidth: input['planeFront']['border'],
                    mesh3d: {visible: input['planeFront']['y'] & input['planeFront']['mesh']},
                    fillColor: input['planeFront']['y'] ? input['planeFront']['color'] : 'none'
                },
                zPlaneFront: {
                    visible: input['planeFront']['z'] | input['planeFront']['border'],
                    strokeColor: '#dddddd',
                    strokeWidth: input['planeFront']['border'],
                    mesh3d: {visible: input['planeFront']['z'] & input['planeFront']['mesh']},
                    fillColor: input['planeFront']['z'] ? input['planeFront']['color'] : 'none'
                },
    
                // Axes on planes
                xPlaneRearYAxis: {visible: input['planeRear']['x'] & input['planeRear']['axis']},
                xPlaneRearZAxis: {visible: input['planeRear']['x'] & input['planeRear']['axis']},
                yPlaneRearXAxis: {visible: input['planeRear']['y'] & input['planeRear']['axis']},
                yPlaneRearZAxis: {visible: input['planeRear']['y'] & input['planeRear']['axis']},
                zPlaneRearXAxis: {visible: input['planeRear']['z'] & input['planeRear']['axis']},
                zPlaneRearYAxis: {visible: input['planeRear']['z'] & input['planeRear']['axis']},
                xPlaneFrontYAxis: {visible: input['planeFront']['x'] & input['planeFront']['axis']},
                xPlaneFrontZAxis: {visible: input['planeFront']['x'] & input['planeFront']['axis']},
                yPlaneFrontXAxis: {visible: input['planeFront']['y'] & input['planeFront']['axis']},
                yPlaneFrontZAxis: {visible: input['planeFront']['y'] & input['planeFront']['axis']},
                zPlaneFrontXAxis: {visible: input['planeFront']['z'] & input['planeFront']['axis']},
                zPlaneFrontYAxis: {visible: input['planeFront']['z'] & input['planeFront']['axis']},
    
                // Controls
                bank: {
                    slider: {...sliderA, ...{visible: input['view']['controls']}}
                },
                az: {
                    slider: {...sliderA, ...{visible: input['view']['controls']}}
                },
                el: {
                    slider: {...sliderA, ...elA, ...{visible: input['view']['controls']}}
                }
            }
        );
    
        v.el_slide.point1.setPosition(JXG.COORDS_BY_USER, [-9, -5]);
        v.el_slide.point2.setPosition(JXG.COORDS_BY_USER, [-9, 5]);
        v.el_slide.setMin(-Math.PI);
        v.el_slide.setMax(Math.PI);
        v.el_slide.setAttribute({ snapValues: [-Math.PI, -Math.PI / 2, 0, Math.PI / 2, Math.PI].concat(input['view']['elevation']) });
        v.el_slide.name = 'EL';
    
        v.az_slide.point1.setPosition(JXG.COORDS_BY_USER, [-5, -9]);
        v.az_slide.point2.setPosition(JXG.COORDS_BY_USER, [5, -9]);
        v.az_slide.setMin(0);
        v.az_slide.setMax(Math.PI * 2);
        v.az_slide.setAttribute({ snapValues: [0, Math.PI / 2, Math.PI, Math.PI * 1.5, Math.PI * 2].concat(input['view']['azimuth']) });
        v.az_slide.name = 'AZ';
    
        v.bank_slide.point1.setPosition(JXG.COORDS_BY_USER, [-5, 9]);
        v.bank_slide.point2.setPosition(JXG.COORDS_BY_USER, [5, 9]);
        v.bank_slide.setAttribute({ snapValues: [-Math.PI, -Math.PI / 2, 0, Math.PI / 2, Math.PI] });
        v.bank_slide.name = 'BK';
    
        v.setView(input['view']['azimuth'], input['view']['elevation'], 0);
    
        return v;
    }
    
    function boardAttr() {
        let bA = {
            boundingbox: [-10, 10, 10, -10],
            keepaspectratio: true,
            axis: false,
            showcopyright: false,
            shownavigation: false,
            movetarget: null,
            pan: {
                enabled: false
            },
            browserpan: false,
            zoom: {
                enabled: false,
            }
        };
        return bA;
    }
    function sliderAttr() {
        let slA = {
            baseline: {
                highlight: false,
                strokeWidth: 16,
                lineCap: 'round',
                strokeColor: '#f3f3f3'
            },
            point1: {frozen: false, fixed: true},
            point2: {frozen: false, fixed: true},
            drawLabel: true,
            face: 'o',
            fillColor: '#aaaaaa',
            highlightFillColor: '#aaaaaa',
            highlightStrokeColor: '#aaaaaa',
            highlightStrokeWidth: 5,
            highline: {
                highlight: false,
                strokeWidth: 16,
                lineCap: 'round',
                strokeColor: '#dddddd'
            },
            label: {
                strokeColor: '#aaaaaa',
                anchorX: 'left',
                anchorY: 'middle',
                layer: 0,
                cssStyle: 'border: 0px solid red; padding: 1px 8px 1px 8px; border-radius: 20px;background-color: #f2f2f2',
            },
            size: 7,
            snapValueDistance: 0.1,
            snapWidth: 0.001,
            strokeColor: '#009900',
            strokeWidth: 0,
            ticks: {
                layer: 7,
                digits: 2,
                maxLabelLength: 2,
                majorHeight: 0,
                majorTickEndings: [1, 1],
                strokeWidth: 4,
                strokeColor: '#cccccc'
            },
            visible: true
        };
        return slA;
    }
    function elAttr() {
        let elA = {
            label: {
                rotate: 90,
                strokeColor: '#aaaaaa',
                anchorX: 'left',
                anchorY: 'middle',
                layer: 0,
                cssStyle: 'border: 0px solid red; padding: 1px 8px 1px 8px; border-radius: 20px;background-color: #f2f2f2; white-space: nowrap;'
            }
        }
        return elA;
    }
    
    // output data for LMS, additional binding to LMS necessary
    
    let output = function () {
        let out = [];
        out.push(JXG.evaluate(() => { return view.az_slide.Value(); }));
        out.push(JXG.evaluate(() => { return view.el_slide.Value(); }));
        out.push(JXG.evaluate(() => { return view.bank_slide.Value(); }));
        out.push(JXG.evaluate(() => { return a.Value(); }));
        return out;
    }
    
    // output events, binding to LMS
    
    board.on('up', function (e) {
        document.getElementById('outputID').innerHTML = output();
    });
    
 </script>