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If \(y=\sin^{-1}x\), what is the correct relation between (x) and (y)?यदि \(y=\sin^{-1}x\) हो तो (x) और (y) के बीच सही संबंध क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\sin y=x\) and \(y\in\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\)\(\sin y=x\) और \(y\in\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\)
The statement \(y=\sin^{-1}x\) means \(\sin y=x\) and (y) lies in the principal range. Understanding inverse functions by definition is the safest method.\(y=\sin^{-1}x\) का अर्थ है \(\sin y=x\) और (y) प्रधान सीमा में है। उल्टे फलन को परिभाषा से समझना सबसे सुरक्षित तरीका है।
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