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If \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to[-1,1]\) and \(f(x)=\sin x\), what type of function is (f)?यदि \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to[-1,1]\) और \(f(x)=\sin x\) हो तो (f) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: One-oneएकैकी
Step 1: On the given interval, (\sin x) is increasing. Step 2: In this interval, two different (x) values do not give the same sine value. Step 3: Trigonometric functions can be one-one on suitable restricted intervals.चरण 1: दिए गए अंतराल पर (\sin x) लगातार बढ़ता है। चरण 2: इस अंतराल में दो अलग (x) समान ज्या मान नहीं देते। चरण 3: त्रिकोणमितीय फलन उचित अंतराल पर एकैकी हो सकते हैं।
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