If , then has the…

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If f(x)=cos⁡(log⁡x)f(x)=\cos(\log x), then f(x2)f(y2)−12[f(x2y2)+f(y2x2)]f(x^2)f(y^2)-\frac{1}{2}\left[f\left(\frac{x^2}{y^2}\right)+f\left(\frac{y^2}{x^2}\right)\right] has the value (a) −2-2 (b) −1-1 (c) 12\frac{1}{2} (d) None of these

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