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Sine Function

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf \(f:[0,\pi]\to[-1,1]\) and \(f(x)=\sin x\), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:[-\frac{\pi}{2},\frac{\pi}{2}]\to[-1,1]) and (f(x)=\sin x), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), (f) is not one-one becauseClass 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x), what is the correct statement about (f)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to[-1,1]\) is given by \(f(x)=\sin x\), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsExpert MathematicsOn real numbers, (aRb) if and only if (\sin a=\sin b). Is this relation an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsFor the relation (\sin a=\sin b) on real numbers, which is the correct form of the class of (0)?Class 12Relations and FunctionsEquivalence relationHard