Considering only the principal values of the inverse trigonometric functions, the value of \({\text{cot}}^{−1}\left(\text{cot}\left(−11\right)\right)\)\(+10\text{sin}\left(2{\text{cos}}^{−1}\left(\frac{1}{\sqrt{2}}\right)\right)\)\(+10\text{sin}\left(2{\text{tan}}^{−1}\left(2\right)\right)\) is

[JEE Advanced 2026]

Question

Considering only the principal values of the inverse trigonometric functions, the value of \({\text{cot}}^{−1}\left(\text{cot}\left(−11\right)\right)\)\(+10\text{sin}\left(2{\text{cos}}^{−1}\left(\frac{1}{\sqrt{2}}\right)\right)\)\(+10\text{sin}\left(2{\text{tan}}^{−1}\left(2\right)\right)\) is

[JEE Advanced 2026]

YESPYQ · Accepted Answer

Options are free to see. Unlock the correct answer and full explanation with PYQ Pass.

Considering only the principal values of the inverse trigonometric functions, the value of \({\text{cot}}^{−1}\left(\tex…

Practice more JEE Maths PYQs