Let "f(x)"=(sin(x-a)+sin(x+a))/(cos(x-a)...

Let `"f(x)"=(sin(x-a)+sin(x+a))/(cos(x-a)-cos(x+a)),` then-

A

`f(x+2pi)=f(x)"but f"(x+alpha)nef(x)"for any"0ltalphalt2pi`

B

f is strictly increasing function

C

f is strictly decreasing function

D

f is constant function

Verified by Experts

The correct Answer is:

D

`f(x)=(sin(x-a)+sin(x+a))/(cos(x-a)-cos(x+a))=(2sin(x).cosa)/(2sinx.sina)=cota`

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