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Problem
Problem
If
f
(
x
)
=
cos
(
log
x
)
f(x) = \cos(\log x)
f
(
x
)
=
cos
(
lo
g
x
)
, then
f
(
x
2
)
f
(
y
2
)
−
1
2
[
f
(
x
2
y
2
)
+
f
(
y
2
x
2
)
]
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]
f
(
x
2
)
f
(
y
2
)
−
2
1
[
f
(
y
2
x
2
)
+
f
(
x
2
y
2
)
]
has the value (a) -2 (b) -1 (c)
1
/
2
1/2
1/2
(d) None of these
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