1. Tardigrade
  2. Question
  3. Mathematics
  4. The value of tan -1 (1/√2)- tan -1 (√5-2 √6/1+√6) is equal

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The value of $\tan ^{-1} \frac{1}{\sqrt{2}}-\tan ^{-1} \frac{\sqrt{5-2 \sqrt{6}}}{1+\sqrt{6}}$ is equal

Inverse Trigonometric Functions

Solution:

$\tan ^{-1} \frac{1}{\sqrt{2}}-\left(\tan ^{-1} \sqrt{3}-\tan ^{-1} \sqrt{2}\right)=\frac{\pi}{6}$