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  4. The value of tan -1 (1/2)+ tan -1 (2/11) is

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Q. The value of $\tan ^{-1} \frac{1}{2}+\tan ^{-1} \frac{2}{11}$ is

Inverse Trigonometric Functions

Solution:

$ \tan ^{-1} \frac{1}{2}+\tan ^{-1} \frac{2}{11} $
$=\tan ^{-1} \frac{\frac{1}{2}+\frac{2}{11}}{1-\frac{1}{2} \times \frac{2}{11}}=\tan ^{-1} \frac{15}{20} $
$=\tan ^{-1} \frac{3}{4}$