Question

The value of \( \tan^{-1} (1) + \tan^{-1} (0) + \tan^{-1} (2) + \tan^{-1} (3) \) is equal to:

• A. \( \pi \)
• B. \( \frac{5\pi}{4} \)
• C. \( \frac{\pi}{2} \)
• D. None of these

Hint:

Use the addition formula for inverse tangents: \[ \tan^{-1}(a) + \tan^{-1}(b) = \tan^{-1} \left( \frac{a + b}{1 - ab} \right) \]

Answer 1

The Correct Option is A

Using the addition formula for inverse tangents, we find the sum of the angles is \( \pi \).