RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 3. Functions

Subject: Maths - Class 11th

Q. No. 15 of Exercise 3C

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Find the domain and the range of each of the following real function:


Need to find: Where the functions are defined.

The maximum value of an angle is 2π

So, the maximum value of x = 2π/3.

Whereas, the minimum value of x is 0

Therefore, the domain of the function, Df(x) = (0, 2π/3).

Now, the minimum value of sinθ = 0 and the maximum value of sinθ = 1. So, the minimum value of the denominator is 1, and the maximum value of the denominator is 2.

Therefore, the range of the function, Rf(x) = (1/2, 1).

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