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 4.5

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2

Find the set of values of cosec–1(√3/2).

Let y = cosec–1 (√3/2)

We know that,


Domain of y = cosec–1 x is (– ∞, 1] U [1, ∞]


But √3/2 < 1


Therefore, it can not be a value of y.


Hence, Set of values of cosec–1(√3/2) is a null set.


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 principal values of each of the following:

cosec–1(–√2)
1

Find the principal values of each of the following:

cosec–1(–2)
1

Find the principal values of each of the following:
1

Find the principal values of each of the following:
2

Find the set of values of cosec–1(√3/2).
3

For the principal values, evaluate the following:
3

For the principal values, evaluate the following:
3

For the principal values, evaluate the following:
3

For the principal values, evaluate the following:

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