Automatic Checking
Try the automatic checker!
Check if the example is correctly calculated
Then replace it with your own calculation.
You have access to 5 free demo checks every hour.
{
"type": "solutionelement",
"name": "solutionelement-checkerdemo",
"metadata": {},
"data": {
"contents": [{"id": "sdelement-demodata"}],
"contentdata": {
"sdelement-demodata": {
"type": "sdelement",
"name": "sdelement-demodata",
"metadata": {},
"data": {
"dstepdata": {
"task-generated-1556533670440-4851": {
"readonly": false,
"task": [],
"assumption": [],
"observation": [],
"derivmotivation": [],
"term": [
{
"text": "\\cos\\left(2\\alpha\\right)",
"readonly": false,
"fillable": false,
"attrs": {}
},
{
"text": "\\left(\\cos\\alpha\\right)^2-\\left(\\sin\\alpha\\right)^2",
"readonly": false,
"fillable": false,
"attrs": {}
},
{
"text": "\\left(\\cos\\alpha\\right)^2-\\left(1-\\left(\\cos\\alpha\\right)^2\\right)",
"readonly": false,
"fillable": false,
"attrs": {}
},
{
"text": "\\left(\\cos\\alpha\\right)^2-1+\\left(\\cos\\alpha\\right)^2",
"readonly": false,
"fillable": false,
"attrs": {}
},
{
"text": "2\\left(\\cos\\alpha\\right)^2-1",
"readonly": false,
"fillable": false,
"attrs": {}
}
],
"relation": [
{
"text": "=",
"readonly": false,
"fillable": false,
"attrs": {}
},
{
"text": "=",
"readonly": false,
"fillable": false,
"attrs": {}
},
{
"text": "=",
"readonly": false,
"fillable": false,
"attrs": {}
},
{
"text": "=",
"readonly": false,
"fillable": false,
"attrs": {}
}
],
"motivation": [
{
"text": "main double-angle rule for the cosine; $\\cos\\left(2\\alpha\\right)=\\left(\\cos\\alpha\\right)^2-\\left(\\sin\\alpha\\right)^2$",
"readonly": false,
"fillable": false,
"subshidden": false,
"subderiv": [],
"attrs": {}
},
{
"text": "the Pythagorean identity: $\\left(\\cos\\alpha\\right)^2+\\left(\\sin\\alpha\\right)^2=1$",
"readonly": false,
"fillable": false,
"subshidden": false,
"subderiv": [],
"attrs": {}
},
{
"text": "expand the parenthesis",
"readonly": false,
"fillable": false,
"subshidden": false,
"subderiv": [],
"attrs": {}
},
{
"text": "simplify",
"readonly": false,
"fillable": false,
"subshidden": false,
"subderiv": [],
"attrs": {}
}
]
}
},
"caption": {
"text": "Example solution:",
"readonly": true,
"fillable": false,
"attrs": {}
},
"dsteps": [
{
"id": "task-generated-1556533670440-4851",
"type": "task"
}
]
}
}
}
}
}
Trigonometry
Check if the trigonometry example to the left is calculated correctly. You can exchange it with your own calculation, and check that one as well.
Try other examples
