{ "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 } }