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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), why is (f) not one-one?यदि (f:\mathbb{R}\to\mathbb{R}) तथा (f(x)=\sin x) हो तो (f) एकैकी क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (\sin 0=\sin \pi)क्योंकि (\sin 0=\sin \pi)
Step 1: (\sin 0=0). Step 2: (\sin \pi=0), while (0\neq\pi). Step 3: Periodic functions can give the same value for different inputs.चरण 1: (\sin 0=0) है। चरण 2: (\sin \pi=0) है जबकि (0\neq\pi)। चरण 3: आवर्ती फलनों में दो अलग आगतों पर समान मान मिल सकता है।
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