First slide

Properties of ITF

Question

The value of $\tan^{- 1} \frac{1}{2} + \tan^{- 1} \frac{1}{3}$ , is

Moderate

A

0
B

$\frac{π}{3}$
C

$\frac{π}{6}$
D

$\frac{π}{4}$

Solution

We have,
$\tan^{- 1} \frac{1}{2} + \tan^{- 1} \frac{1}{3} = \tan^{- 1} (\frac{1 / 2 + 1 / 3}{1 - 1 / 2 \times 1 / 3}) = \tan^{- 1} 1 = \frac{π}{4}$

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