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If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x), what is the correct statement for (f)?यदि (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x), तो (f) के लिए सही कथन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is not one-oneएकैकी नहीं है
Step 1: (\sin x) is periodic. Step 2: (\sin 0=0) and (\sin \pi=0), while (0\neq \pi). Step 3: Periodic functions are generally not one-one on the whole real domain.चरण 1: (\sin x) आवर्ती फलन है। चरण 2: (\sin 0=0) और (\sin \pi=0), जबकि (0\neq \pi)। चरण 3: आवर्ती फलनों में पूरे वास्तविक क्षेत्र पर एकैकीता सामान्यतः नहीं होती।
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