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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\cos x), (f) is not one-one becauseयदि (f:\mathbb{R}\to\mathbb{R}) और (f(x)=\cos x) है, तो (f) एकैकी नहीं है क्योंकि
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (f(0)=f(2\pi)) and (0\neq 2\pi)(f(0)=f(2\pi)) और (0\neq 2\pi)
Step 1: (\cos x) is a periodic function. Step 2: (\cos 0=1) and (\cos 2\pi=1), while (0\neq 2\pi). Step 3: Periodic functions on all real numbers are generally not one-one.चरण 1: (\cos x) एक आवर्ती फलन है। चरण 2: (\cos 0=1) और (\cos 2\pi=1), जबकि (0\neq 2\pi)। चरण 3: आवर्ती फलन पूरे (\mathbb{R}) पर सामान्यतः एकैकी नहीं होते।
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