Question

If f(x, y) = tan ¹), then f (3.3) is equal to

Answer 1

Answer:

Given that ,f(x)=tan−1x    ….(1)

Put x=y in equation (1) we get

f(y)=tan−1y    ….(2)

Add equation (1) and (2)

f(x)+f(y)=tan−1x+tan−1y

Using inverse trigonometry properties, we get

tan−1x+tan−1y =tan−1(1−xyx+y)

This is the answer.