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For all real values of x and y, 2f(x) co...

For all real values of x and y, 2f(x) cosy = f(x + y) + f(x - y) and b are arbitrary constants.
Answer the following question based on above passage :
f(x) + f(-x) =

A

0

B

2b cosx

C

2b sinx

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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PATHFINDER-FUNCTION-QUESTION BANK
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  2. For all real values of x and y, 2f(x) cosy = f(x + y) + f(x - y) and b...

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  3. For all real values of x and y, 2f(x) cosy = f(x + y) + f(x - y) and b...

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  4. Match List - I with List-II

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  5. Match List - I with List-II

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  7. Match List - I with List-II

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  11. If maximum and minimum value of f(x)=^xC(2x-1)+^(20-3x)C(4x-5) are la...

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