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If (f:[0,\pi]\to\mathbb{R}), (f(x)=\cos x), what is the one-one status of (f)?यदि (f:[0,\pi]\to\mathbb{R}), (f(x)=\cos x), तो (f) की एकैकी स्थिति क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: One-oneएकैकी है
Step 1: On ([0,\pi]), (\cos x) is strictly decreasing. Step 2: A strictly decreasing function does not give the same output for two different inputs. Step 3: Strictly increasing or decreasing behavior is a good sign of one-one nature.चरण 1: ([0,\pi]) पर (\cos x) सख्ती से घटता है। चरण 2: सख्ती से घटने वाला फलन दो अलग आगतों को समान निर्गत नहीं देता। चरण 3: बढ़ता या घटता होना एकैकी पहचानने का अच्छा संकेत है।
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