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If (\sin^{-1}x=\cos^{-1}x), what is the value of (x)?यदि (\sin^{-1}x=\cos^{-1}x), तो (x) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{1}{\sqrt{2}})(\frac{1}{\sqrt{2}})
Since (\sin^{-1}x+\cos^{-1}x=\frac{\pi}{2}), if both are equal then each is (\frac{\pi}{4}). Hence (x=\sin\frac{\pi}{4}=\frac{1}{\sqrt{2}}).क्योंकि (\sin^{-1}x+\cos^{-1}x=\frac{\pi}{2}), दोनों बराबर होने पर हर एक (\frac{\pi}{4}) होगा। इसलिए (x=\sin\frac{\pi}{4}=\frac{1}{\sqrt{2}})।
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