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Problem
Problem
Let
f
(
x
)
f(x)
f
(
x
)
be a function such that
2
f
(
x
)
+
f
(
−
x
)
=
cos
x
2f(x) + f(-x) = \cos x
2
f
(
x
)
+
f
(
−
x
)
=
cos
x
for every real number 'x'. The value of
f
(
π
)
f(\pi)
f
(
π
)
is equal to (a) 0 (b)
−
1
2
-\frac{1}{2}
−
2
1
(c)
−
1
3
-\frac{1}{3}
−
3
1
(d) -1
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