{
"query": {
"display": "$$\\sin\\left(θ\\right)=-\\frac{5}{4}$$",
"symbolab_question": "EQUATION#\\sin(θ)=-\\frac{5}{4}"
},
"solution": {
"level": "PERFORMED",
"subject": "Trigonometry",
"topic": "Trig Equations",
"subTopic": "Trig Equations",
"default": "\\mathrm{No\\:Solution\\:for}\\:θ\\in\\mathbb{R}",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "$$\\sin\\left(θ\\right)=-\\frac{5}{4}{\\quad:\\quad}$$No Solution for $$θ\\in\\mathbb{R}$$",
"input": "\\sin\\left(θ\\right)=-\\frac{5}{4}",
"steps": [
{
"type": "step",
"primary": "$$-1\\le\\sin\\left(x\\right)\\le1$$",
"result": "\\mathrm{No\\:Solution\\:for}\\:θ\\in\\mathbb{R}"
}
],
"meta": {
"solvingClass": "Trig Equations",
"practiceLink": "/practice/trigonometry-practice#area=main&subtopic=Trig%20Equations",
"practiceTopic": "Trig Equations"
}
},
"plot_output": {
"meta": {
"plotInfo": {
"variable": "θ",
"plotRequest": "\\sin(θ)+\\frac{5}{4}"
},
"showViewLarger": true
}
},
"meta": {
"showVerify": true
}
}
Solution
Solution
Solution steps
Graph
Popular Examples
2sin^2(x/2)+cos(x)=1+sin(x)5sin^2(x)-6sin(x)cos(x)=010sin(20t-pi/6)=8solvefor x,-cos(x)=0solve for sin^2(x)tan^2(x)=tan^2(x)+sin^2(x)
Frequently Asked Questions (FAQ)
What is the general solution for sin(θ)=-5/4 ?
The general solution for sin(θ)=-5/4 is No Solution for θ\in\mathbb{R}