{
"query": {
"display": "periodicity $$f\\left(x\\right)=2\\cos\\left(πx\\right)$$",
"symbolab_question": "FUNCTION#periodicity f(x)=2\\cos(πx)"
},
"solution": {
"level": "PERFORMED",
"subject": "Functions & Graphing",
"topic": "Functions",
"subTopic": "periodicity",
"default": "2",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "Periodicity of $$2\\cos\\left(πx\\right):{\\quad}2$$",
"steps": [
{
"type": "step",
"primary": "Periodicity of $$a\\cdot\\cos\\left(bx\\:+\\:c\\right)\\:+\\:d=\\frac{\\mathrm{periodicity\\:of}\\:\\cos\\left(x\\right)}{|b|}$$",
"secondary": [
"Periodicity of $$\\cos\\left(x\\right)\\:$$is $$2π$$"
],
"result": "=\\frac{2π}{\\left|π\\right|}"
},
{
"type": "step",
"primary": "Simplify",
"result": "=2"
}
],
"meta": {
"solvingClass": "Function Periodicity"
}
},
"plot_output": {
"meta": {
"plotInfo": {
"variable": "x",
"plotRequest": "2\\cos(πx)"
},
"showViewLarger": true
}
},
"meta": {
"showVerify": true
}
}
Solution
periodicity
Solution
Solution steps
Periodicity of Periodicity of is
Simplify
Graph
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Frequently Asked Questions (FAQ)
What is the periodicity of f(x)=2cos(pix) ?
The periodicity of f(x)=2cos(pix) is 2