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Mathematics Question on Increasing and Decreasing Functions

If the function f(x)=ksin⁡x+2cos⁡xsin⁡x+cos⁡xf(x)=\frac{k \sin x+2\cos x}{\sin x+\cos x} is increasing for all values of x, then

A

k < 1

B

1 < k

C

k > 2

D

k < 2

Answer

k > 2

Explanation

Solution

The correct option is (C) : k>2.