{
"query": {
"display": "solve for $$x,\\:\\tan\\left(x\\right)=\\frac{3.057}{6}$$",
"symbolab_question": "SOLVE_FOR#solvefor x,\\tan(x)=\\frac{3.057}{6}"
},
"solution": {
"level": "PERFORMED",
"subject": "Trigonometry",
"topic": "Trig Equations",
"subTopic": "Trig Equations",
"default": "x=0.47121…+πn",
"degrees": "x=26.99884…^{\\circ }+180^{\\circ }n",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "$$solve\\:for\\:x,\\:\\tan\\left(x\\right)=\\frac{3.057}{6}{\\quad:\\quad}x=0.47121…+πn$$",
"input": "\\tan\\left(x\\right)=\\frac{3.057}{6}",
"steps": [
{
"type": "interim",
"title": "Apply trig inverse properties",
"input": "\\tan\\left(x\\right)=\\frac{3.057}{6}",
"result": "x=\\arctan\\left(\\frac{3.057}{6}\\right)+πn",
"steps": [
{
"type": "step",
"primary": "General solutions for $$\\tan\\left(x\\right)=\\frac{3.057}{6}$$",
"secondary": [
"$$\\tan\\left(x\\right)=a\\quad\\Rightarrow\\quad\\:x=\\arctan\\left(a\\right)+πn$$"
],
"result": "x=\\arctan\\left(\\frac{3.057}{6}\\right)+πn"
}
],
"meta": {
"interimType": "Trig Apply Inverse Props 0Eq"
}
},
{
"type": "step",
"primary": "Show solutions in decimal form",
"result": "x=0.47121…+πn"
}
],
"meta": {
"solvingClass": "Trig Equations",
"practiceLink": "/practice/trigonometry-practice#area=main&subtopic=Trig%20Equations",
"practiceTopic": "Trig Equations"
}
},
"plot_output": {
"meta": {
"plotInfo": {
"variable": "x",
"plotRequest": "\\tan(x)-\\frac{3.057}{6}"
},
"showViewLarger": true
}
},
"meta": {
"showVerify": true
}
}
Solution
solve for
Solution
+1
Degrees
Solution steps
Apply trig inverse properties
General solutions for
Show solutions in decimal form
Graph
Popular Examples
3cos(45)+4cos(y)=3cos(3θ)=cos(θ)(tan(x)-sec(x))^2=3solvefor y,ln(x^2+10)+csc(y)=csolve for sin(a)= 7/15
Frequently Asked Questions (FAQ)
What is the general solution for solvefor x,tan(x)=(3.057)/6 ?
The general solution for solvefor x,tan(x)=(3.057)/6 is x=0.47121…+pin