RD Sharma - Mathematics (Volume 1)

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 .


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