RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 5 of Exercise 4.2

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5

For the principal values, evaluate each of the following:

Let = x.

Then, cos x = = cos



Let


Then, sin y = = –sin = sin



Hence,




Principal value 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

Find the domain of f(x) = cos–12x + sin–1x.
3

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

Find the principal value of each of the following:
4

Find the principal value of each of the following:
4

Find the principal value of each of the following:
4

Find the principal value of each of the following:
5

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

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

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

For the principal values, evaluate each of the following:

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