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If \(f:\left[0,\frac{\pi}{2}\right]\to [-1,1]\), \(f(x)=\sin x\), which statement is correct?यदि \(f:\left[0,\frac{\pi}{2}\right]\to [-1,1]\), \(f(x)=\sin x\), तो (f) के बारे में कौन सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Not onto because negative values are not obtainedआच्छादक नहीं है क्योंकि ऋणात्मक मान नहीं मिलते
Step 1: (\sin x) goes from (0) to (1) on \(\left[0,\frac{\pi}{2}\right]\). Step 2: The codomain ([-1,1]) has negative values, which are not obtained. Step 3: The same trigonometric formula can give different answers on different intervals.चरण 1: (\sin x) \(\left[0,\frac{\pi}{2}\right]\) पर (0) से (1) तक जाता है। चरण 2: सहक्षेत्र ([-1,1]) में ऋणात्मक मान हैं जो नहीं मिलते। चरण 3: समान त्रिकोणमितीय सूत्र अलग अंतराल पर अलग उत्तर देता है।
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