Let f(x) = frac{sin(x-a) + sin(x+a)}{cos(x-a) | vedclass

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(D) Given the function $f(x) = \frac{\sin(x-a) + \sin(x+a)}{\cos(x-a) - \cos(x+a)}$.Using the trigonometric identities $\sin(A-B) + \sin(A+B) = 2\sin

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$f$ is a constant function

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(D) Given the function $f(x) = \frac{\sin(x-a) + \sin(x+a)}{\cos(x-a) - \cos(x+a)}$.Using the trigonometric identities $\sin(A-B) + \sin(A+B) = 2\sin A \cos B$ and $\cos(A-B) - \cos(A+B) = 2\sin A \sin B$,we get:$f(x) = \frac{2\sin x \cos a}{2\sin x \sin a}$Assuming $\sin x 
eq 0$,we can simplify the expression:$f(x) = \frac{\cos a}{\sin a} = \cot a$Since $a$ is a constant,$\cot a$ is also a constant.Therefore,$f(x)$ is a constant function.

Let $f(x) = \frac{\sin(x-a) + \sin(x+a)}{\cos(x-a) - \cos(x+a)}$,then

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