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 4.2

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1

Find the domain of definition of f(x) = cos–1(x2–4).

Domain of lies in the interval [–1, 1].


Therefore, the domain of cos–1(x2 – 4) lies in the interval [–1, 1].


–1 1


3 5



and


Domain of 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

More Exercise Questions

1

Find the domain of definition of f(x) = cos–1(x2–4).
2

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3

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4

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4

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4

Find the principal value of each of the following:
4

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5

For the principal values, evaluate each of the following:
5

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5

For the principal values, evaluate each of the following:
5

For the principal values, evaluate each of the following:

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