Question

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

• A. $\frac{7\pi }{12}$
• B. $\frac{11\pi }{24}$
• C. $\frac{7\pi }{8}$
• D. $\frac{13\pi }{24}$

Answer 1

Answer: (B)

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