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A ral valued functin f (x) satisfies the...

A ral valued functin `f (x)` satisfies the functional equation `f (x-y)=f(x)f(y)- f(a-x) f(x+y)` where 'a' is a given constant and `f (0) =1, f(2a-x)` is equal to :

A

`( 0 , (pi)/(2))`

B

`[ 0 , (pi)/(2)]`

C

`[-(pi)/(2) , (pi)/(2)]`

D

`(- (pi)/(2) , (pi)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
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