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  4. The value of tan -1(-√2+1)+ sec -1((2 √2/√3+1))+ cot -1(0)-2 cos -1(1) is

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Q. The value of $\tan ^{-1}(-\sqrt{2}+1)+\sec ^{-1}\left(\frac{2 \sqrt{2}}{\sqrt{3}+1}\right)+\cot ^{-1}(0)-2 \cos ^{-1}(1)$ is

Inverse Trigonometric Functions

Solution:

$-\frac{\pi}{8}+\frac{\pi}{12}+\frac{\pi}{2}-0=\frac{11 \pi}{24}$