Consider the function \(f:\mathbb{R}\longrightarrow \mathbb{R}\) defined as \(f(x)=\sin x\). Then1\(f\) in increasing on \(\mathbb{R}\)2\(f\) in decreasing on \(\mathbb{R}\)3Neither increasing nor decreasing on \((0,\pi)\)4None of the aboveAnswer & explanation+Correct answer: option 3Use derivative