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Class 12 · Mathematics · Medium

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), (f) is not one-one because

Class 12 · Mathematics · Medium

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sin x), what is the correct statement for (f)?

Class 12 · Mathematics · Medium

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), why is (f) not one-one?

Class 12 · Mathematics · Easy

If \(f:\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\to\mathbb{R}\) and \(f(x)=\tan x\), what type of function is (f)?

Class 12 · Mathematics · Easy

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), which pair shows that (f) is not one-one?

Class 12 · Mathematics · Easy

If (f:[0,\pi]\to[-1,1]) and (f(x)=\cos x), what type of function is (f)?

Class 12 · Mathematics · Easy

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\cos x), which statement about one-one property is correct?

Class 12 · Mathematics · Easy

If \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to[-1,1]\) and \(f(x)=\sin x\), what type of function is (f)?

Class 12 · Mathematics · Easy

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), is (f) one-one?

Class 12 · Mathematics · Expert

If \(f:\mathbb{R}\to\mathbb{R}\) is given by \(f(x)=\sin x+\cos x\), what is the range of (f)?

Class 12 · Mathematics · Hard

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), why is (f) not onto?

Class 12 · Mathematics · Hard

If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\sin x), why is (f) not onto?

Class 12 · Mathematics · Hard

If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\cos x), why is (f) not onto?

Class 12 · Mathematics · Hard

If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\sin x), which statement about (f) is correct?

Class 12 · Mathematics · Hard

On (A=\mathbb{R}), (xRy) if (\sin x=\sin y). What type of relation is this?

Class 12 · Mathematics · Expert

On all real numbers, (aRb) if and only if (\sin^2 a=\sin^2 b). Which of the following numbers belongs to the equivalence class of (0)?