Question

The value of ${\cot }^{-1}\left(1\right)+{\cos }^{-1}\left(\frac{1}{\sqrt{2}}\right)$ is

[1 mark]

• A. $\frac{\pi }{2}$
• B. $\frac{\pi }{4}$
• C. $\frac{\pi }{8}$
• D. $\frac{\pi }{6}$

Answer 1

The correct option is A $\frac{\pi }{2}$

${\cot }^{-1}\left(1\right)+{\cos }^{-1}\left(\frac{1}{\sqrt{2}}\right)$
$=\frac{\pi }{4}+\frac{\pi }{4}$
$=\frac{\pi }{2}$