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.


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