Question

principal value of this angle

Answer 1

Given

$\sec^{ - 1} - ( \sqrt{2})$
There is no option for theta so I m using A for theta

$a = \sec ^{ - 1} ( - \sqrt{2} )$

$\sec \: a = - \sqrt{2}$

Sec a = 1/cos a

So

1/cos a = - root 2

Cos a=1/- root 2

And cos 135=1/-root 2

So theta (a) =135

This is ur ans hope it will help you in case of any doubt comment below

Answer 2

hope it will be helpful for you