Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If f(x + y) = f(x) + f(y) ∀ x, y ∈ R and f(1) = 1, then evaluate 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. f (x + y) = f(x) + f(y) ⇒ f(x) = xf (1)
⇒ f(x) = x
Now, 
= 
= 
× 2 sinx = 
2
sinx = log e 2 × 
× 2º = 
log e 2
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