sin(arcsin(-1))

{ "query": { "display": "$$\\sin\\left(\\arcsin\\left(-1\\right)\\right)$$", "symbolab_question": "TRIG_EVALUATE#\\sin(\\arcsin(-1))" }, "solution": { "level": "PERFORMED", "subject": "Trigonometry", "topic": "Evaluate Functions", "subTopic": "Simplified", "default": "-1", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\sin\\left(\\arcsin\\left(-1\\right)\\right)=-1$$", "input": "\\sin\\left(\\arcsin\\left(-1\\right)\\right)", "steps": [ { "type": "interim", "title": "Rewrite using trig identities:$${\\quad}\\sin\\left(\\arcsin\\left(-1\\right)\\right)=-1$$", "steps": [ { "type": "step", "primary": "Use the following identity: $$\\sin\\left(\\arcsin\\left(x\\right)\\right)=x$$" }, { "type": "step", "result": "=-1" } ], "meta": { "interimType": "Trig Use Identity 1Eq" } }, { "type": "step", "result": "=-1" } ], "meta": { "solvingClass": "Trig Evaluate", "practiceLink": "/practice/trigonometry-practice#area=main&subtopic=Evaluate%20Functions", "practiceTopic": "Evaluate Functions" } }, "meta": { "showVerify": true } }