Question

If x & y > 0, x > y then tan^–1+ tan^–1 $\left( \frac { x + y } { x - y } \right)$ is equal to

• A. –p/4
• B. p/4
• C. 3p/4
• D. None of these

Answer 1

Answer: (C)

3p/4

Answer 2

since $\frac { x } { y } \times \frac { x + y } { x - y }$ > 1

given sum = p + tan^–1$\left( \frac { \frac { x } { y } + \frac { x + y } { x - y } } { 1 - \frac { x } { y } \cdot \frac { x + y } { x - y } } \right)$

= p + tan^–1(–1) = 3p/4