RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 4 of Exercise 4.7

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4

Evaluate each of the following:

As sec(–θ) is sec(θ)


∴ sec = sec


The value of sec is 2.


Let sec–1(2) = y


⇒ sec y = 2


⇒ sec()


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


And sec = 2


∴ The value of sec–1(sec) is .


Chapter Exercises

Exercise 4.1
Exercise 4.2
Exercise 4.3
Exercise 4.4
Exercise 4.5
Exercise 4.6
Exercise 4.7
Exercise 4.8
Exercise 4.9
Exercise 4.10
Exercise 4.11
Exercise 4.12
Exercise 4.13
Exercise 4.14
Very short answer
MCQ

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