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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), which pair shows that (f) is not one-one?यदि (f:\mathbb{R}\to\mathbb{R}) और (f(x)=\sin x) हो तो कौन सा युग्म दिखाता है कि (f) एकैकी नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (0) and (\pi)(0) और (\pi)
Step 1: (\sin 0=0). Step 2: (\sin \pi=0), while (0\neq\pi). Step 3: In periodic functions, different angles can give the same value.चरण 1: (\sin 0=0) है। चरण 2: (\sin \pi=0) है जबकि (0\neq\pi)। चरण 3: आवर्ती फलनों में अलग कोण समान मान दे सकते हैं।
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