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If \(f:[-\pi,\pi]\to\mathbb{R}\), \(f(x)=\cos x\), choose the correct option.यदि \(f:[-\pi,\pi]\to\mathbb{R}\), \(f(x)=\cos x\), तो सही विकल्प चुनिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is not one-oneएकैकी नहीं है
Step 1: (\cos x) is an even function. Step 2: \(\cos \frac{\pi}{3}=\frac{1}{2}\) and \(\cos \left(-\frac{\pi}{3}\right)=\frac{1}{2}\), while the inputs are different. Step 3: Always check symmetric values for an even trigonometric function.चरण 1: (\cos x) सम फलन है। चरण 2: \(\cos \frac{\pi}{3}=\frac{1}{2}\) और \(\cos \left(-\frac{\pi}{3}\right)=\frac{1}{2}\), जबकि आगत अलग हैं। चरण 3: सम त्रिकोणमितीय फलन के सममित मानों को अवश्य जाँचें।
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