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When is \(\sin^{-1}(\sin\theta)=\theta\) definitely true?\(\sin^{-1}(\sin\theta)=\theta\) कब निश्चित रूप से सत्य है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\theta\in[-\frac{\pi}{2},\frac{\pi}{2}])(\theta\in[-\frac{\pi}{2},\frac{\pi}{2}])
The output of \(\sin^{-1}x\) lies in \([-\frac{\pi}{2},\frac{\pi}{2}]\). Therefore \(\theta\) must lie in this range.\(\sin^{-1}x\) का आउटपुट \([-\frac{\pi}{2},\frac{\pi}{2}]\) में होता है। इसलिए \(\theta\) इसी range में होना चाहिए।
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