RD Sharma Solutions For Class 12 Maths Exercise 4.2 Chapter 4 (Updated for 2021-22)

RD Sharma Solutions Class 12 Maths Chapter 4 Exercise 4.2: The questions based on the inverse of cosine functions are covered in this exercise. These questions are answered in the most efficient manner in order to improve students’ logical thinking abilities. The experts have a lot of experience with field design solutions that are applicable to the exam pattern. The RD Sharma Solutions include detailed explanations to keep the students engaged while they solve the problems. Students can use RD Sharma Solutions Class 12 Maths Chapter 4 Inverse Trigonometric Functions Exercise 4.2 to help them perform well in the board exam.

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RD Sharma Solutions Class 12 Maths Chapter 4 Exercise 4.2

Access answers to Maths RD Sharma Solutions For Class 12 Chapter 4 – Inverse Trigonometric Functions Exercise 4.2 Important Questions With Solution

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

Solution:

Given f(x) = cos ^-1 (x² – 4)

We know that domain of cos^-1 (x² – 4) lies in the interval [-1, 1]

Therefore, we can write as

-1 ≤ x² – 4 ≤ 1

4 – 1 ≤ x² ≤ 1 + 4

3 ≤ x² ≤ 5

±√ 3 ≤ x ≤ ±√5

– √5 ≤ x ≤ – √3 and √3 ≤ x ≤ √5

Therefore domain of cos^-1 (x² – 4) is [- √5, – √3] ∪ [√3, √5]

2. Find the domain of f(x) = cos^-1 2x + sin^-1 x.

Solution:

Given that f(x) = cos^-1 2x + sin^-1 x.

Now we have to find the domain of f(x),

We know that domain of cos^-1 x lies in the interval [-1, 1]

Also know that domain of sin^-1 x lies in the interval [-1, 1]

Therefore, the domain of cos^-1 (2x) lies in the interval [-1, 1]

Hence we can write as,

-1 ≤ 2x ≤ 1

– ½ ≤ x ≤ ½

Hence, domain of cos^-1(2x) + sin^-1 x lies in the interval [- ½, ½].

RD Sharma Solutions Class 12 Maths Chapter 4 Exercise 4.2: Important Topics 

Let us have a look at some of the important concepts that are discussed in this chapter.

• Definition and meaning of inverse trigonometric functions
• Inverse of sine function
• Inverse of cosine function
• Inverse of tangent function
• Inverse of secant function
• Inverse of cosecant function
• Inverse of cotangent function
• Properties of inverse trigonometric functions

Access other exercises of RD Sharma Solutions For Class 12 Chapter 4 – Inverse Trigonometric Functions

• RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.1
• RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.3
• RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.4
• RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.5
• RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.6
• RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.7
• RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.8
• RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.9
• RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.10
• RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.11
• RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.12
• RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.13
• RD Sharma Solutions for Class 12 Chapter 4 Exercise 4.14

We have provided complete details of RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.2. If you have any queries related to CBSE Class 12 Exam, feel free to ask us in the comment section below.

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