{
"query": {
"display": "$$\\cosh\\left(0\\right)$$",
"symbolab_question": "TRIG_EVALUATE#\\cosh(0)"
},
"solution": {
"level": "PERFORMED",
"subject": "Trigonometry",
"topic": "Evaluate Functions",
"subTopic": "Simplified",
"default": "1",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "$$\\cosh\\left(0\\right)=1$$",
"input": "\\cosh\\left(0\\right)",
"steps": [
{
"type": "step",
"primary": "Use the Hyperbolic identity: $$\\cosh\\left(x\\right)=\\frac{e^{x}+e^{-x}}{2}$$",
"result": "=\\frac{e^{0}+e^{-0}}{2}"
},
{
"type": "step",
"primary": "Simplify",
"result": "=1"
}
],
"meta": {
"solvingClass": "Trig Evaluate",
"practiceLink": "/practice/trigonometry-practice#area=main&subtopic=Evaluate%20Functions",
"practiceTopic": "Evaluate Functions"
}
},
"meta": {
"showVerify": true
}
}
Solution
Solution
Solution steps
Use the Hyperbolic identity:
Simplify
Popular Examples
Frequently Asked Questions (FAQ)
What is the value of cosh(0) ?
The value of cosh(0) is 1