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Mathematics
Problem
A real valued function
f
(
x
)
f(x)
f
(
x
)
satisfies the functional equation
f
(
x
−
y
)
=
f
(
x
)
f
(
y
)
−
f
(
a
−
x
)
f
(
a
+
y
)
f(x-y) = f(x)f(y) - f(a-x)f(a+y)
f
(
x
−
y
)
=
f
(
x
)
f
(
y
)
−
f
(
a
−
x
)
f
(
a
+
y
)
where '
a
a
a
' is a given constant and
f
(
0
)
=
1
,
f
(
2
a
−
x
)
f(0) = 1, f(2a-x)
f
(
0
)
=
1
,
f
(
2
a
−
x
)
equal to :
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