As sec(–θ) is sec(θ)

∴ sec = sec

The value of sec is –√2 .

Let sec^–1(–√2) = y

⇒ sec y = –√2

= – sec = √2

= sec

= sec

The range of principal value of sec^–1is [0, π]–{}

and sec = –√2.

Therefore, the value of sec^–1sec is .