If $ f(x)=\cos (\log x) $, then $ f(x) f(y)-\frac{1}{2}[f(x / y)+f(x y)]= $

JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

f(x)=\cos (\log x)

, then

f(x) f(y)-\frac{1}{2}[f(x / y)+f(x y)]=

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because by substituting the given function into the expression and simplifying using trigonometric identities, the result is 0.

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