A) \[K<1\]
B) \[K>1\]
C) \[K<2\]
D) \[K>2\]
Correct Answer: D
Solution :
Since \[f(x)=\frac{K\sin x+2\cos x}{\sin x+\cos x}\]is increasing for all x, therefore \[f'(x)>0\]for all x \[\Rightarrow \frac{K-2}{{{(\sin x+\cos x)}^{2}}}>0\]for all x Þ\[K-2>0\Rightarrow K>2\].You need to login to perform this action.
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