RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 2 of Exercise 4.7

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2

Evaluate each of the following:

The value of cos is


Now,


∴ The question becomes cos–1()


Let cos–1 = y


⇒ cos y =


= –cos


= cos


⇒ cos


The range of principal value of cos–1 is [0,π] and cos


Therefore, the value of cos–1(cos) 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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