{
"query": {
"display": "$$\\cot\\left(θ\\right)=0.6$$",
"symbolab_question": "EQUATION#\\cot(θ)=0.6"
},
"solution": {
"level": "PERFORMED",
"subject": "Trigonometry",
"topic": "Trig Equations",
"subTopic": "Trig Equations",
"default": "θ=1.03037…+πn",
"degrees": "θ=59.03624…^{\\circ }+180^{\\circ }n",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "$$\\cot\\left(θ\\right)=0.6{\\quad:\\quad}θ=1.03037…+πn$$",
"input": "\\cot\\left(θ\\right)=0.6",
"steps": [
{
"type": "interim",
"title": "Apply trig inverse properties",
"input": "\\cot\\left(θ\\right)=0.6",
"result": "θ=\\arccot\\left(0.6\\right)+πn",
"steps": [
{
"type": "step",
"primary": "General solutions for $$\\cot\\left(θ\\right)=0.6$$",
"secondary": [
"$$\\cot\\left(x\\right)=a\\quad\\Rightarrow\\quad\\:x=\\arccot\\left(a\\right)+πn$$"
],
"result": "θ=\\arccot\\left(0.6\\right)+πn"
}
],
"meta": {
"interimType": "Trig Apply Inverse Props 0Eq"
}
},
{
"type": "step",
"primary": "Show solutions in decimal form",
"result": "θ=1.03037…+πn"
}
],
"meta": {
"solvingClass": "Trig Equations",
"practiceLink": "/practice/trigonometry-practice#area=main&subtopic=Trig%20Equations",
"practiceTopic": "Trig Equations"
}
},
"plot_output": {
"meta": {
"plotInfo": {
"variable": "θ",
"plotRequest": "\\cot(θ)-0.6"
},
"showViewLarger": true
}
},
"meta": {
"showVerify": true
}
}
Solution
Solution
+1
Degrees
Solution steps
Apply trig inverse properties
General solutions for
Show solutions in decimal form
Graph
Popular Examples
sin^2(2x)+3sin(2x)+2=0,0<= x<= 10picos(x)+3sin(x)=26tan(x)(1-cos^2(x))=tan(x)cos^2(x)-sin^2(x)+sin(x)=1sin^3(x)-6sin^2(x)-sin(x)+6=0
Frequently Asked Questions (FAQ)
What is the general solution for cot(θ)=0.6 ?
The general solution for cot(θ)=0.6 is θ=1.03037…+pin