The maximum value of \(\sin x+\cos x\) is1\(2\)2\(1\)3\(\sqrt{2}\)4\(0\)Answer & explanation+Correct answer: option 3\(-\sqrt{a^{2}+b^{2}}\leq a\sin x+b \cos x\leq \sqrt{a^{2}+b^{2}}\)