A) 1
B) 0
C) \[{{\sin }^{2}}(x)+\cos ({{x}^{2}})\]
D) \[\sin ({{x}^{2}})+{{\cos }^{2}}(x)\]
E) \[\sin ({{x}^{2}})+\cos ({{x}^{2}})\]
Correct Answer: E
Solution :
\[f(x)=\sin x+\cos x,x\in (-\infty ,\infty )\] and \[g(x)={{x}^{2}},x\in (-\infty ,\infty )\] \[fog(x)=f(g(x))=f({{x}^{2}})\] \[=\sin ({{x}^{2}})+\cos ({{x}^{2}})\]
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