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Question: The function f(x) = \(\frac{a\sin x + 2\cos x}{\sin x + \cos x}\)is increasing for x Î R When...

The function f(x) = asin⁡x+2cos⁡xsin⁡x+cos⁡x\frac{a\sin x + 2\cos x}{\sin x + \cos x}is increasing for x Î R

When

A

a < 1

B

a > 1

C

a < 2

D

a > 2

Answer

a > 2

Explanation

Solution

For ­a × 1– 2 × 1 > 0 ̃ a > 2