Book: RD Sharma - Mathematics (Volume 1)
Chapter: 4. Inverse Trigonometric Functions
Subject: Maths - Class 12th
Q. No. 1 of Exercise 4.4
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1
Find the principal values of each of the following:
sec–1(–√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
∴ The principal value of sec–1(–√2) is 
.
