RD Sharma Solutions For Class 12 Maths Exercise 4.8 Chapter 4 (Updated for 2021-22)

RD Sharma Solutions Class 12 Chapter 4 Exercise 4.8

RD Sharma Solutions Class 12 Chapter 4 Exercise 4.8: The characteristics of inverse functions are covered in Chapter 4 Exercise 4.8. You need to solve problems by utilising these properties. To assist students prepare efficiently for the board exam, a group of experts at Kopykitab explain these concepts in the best possible way. In the recent CBSE exam pattern, each step carries marks, hence the solutions are produced in a stepwise manner. While answering exercise wise questions, students can access the PDF of RD Sharma Solutions to acquire immediate answers to their questions. Here you can get the RD Sharma Solutions Class 12 Maths Chapter 4 Inverse Trigonometric Functions Exercise 4.8 PDF.

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RD Sharma Solutions Class 12 Chapter 4 Exercise 4.8

Access answers to Maths RD Sharma Solutions For Class 12 Chapter 4 – Inverse Trigonometric Functions Exercise 4.8 Important Questions With Solution

1. Evaluate each of the following:

(i) sin (sin-1 7/25)

(ii) Sin (cos-1 5/13)

(iii) Sin (tan-1 24/7)

(iv) Sin (sec-1 17/8)

(v) Cosec (cos-1 8/17)

(vi) Sec (sin-1 12/13)

(vii) Tan (cos-1 8/17)

(viii) cot (cos-1 3/5)

(ix) Cos (tan-1 24/7)

Solution:

(i) Given sin (sin-1 7/25)

Now let y = sin-1 7/25

Sin y = 7/25 where y ∈ [0, π/2]

Substituting these values in sin (sin-1 7/25) we get

Sin (sin-1 7/25) = 7/25

(ii) Given Sin (cos-1 5/13)

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 18

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 19

(iii) Given Sin (tan-1 24/7)

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 20

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 21

(iv) Given Sin (sec-1 17/8)

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 22

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 23

(v) Given Cosec (cos-1 8/17)

Let cos-1(8/17) = y

cos y = 8/17 where y ∈ [0, π/2]

Now, we have to find

Cosec (cos-1 8/17) = cosec y

We know that,

sin2 θ + cos2 θ = 1

sin2 θ = √ (1 – cos2 θ)

So,

sin y = √ (1 – cos2 y)

= √ (1 – (8/17)2)

= √ (1 – 64/289)

= √ (289 – 64/289)

= √ (225/289)

= 15/17

Hence,

Cosec y = 1/sin y = 1/ (15/17) = 17/15

Therefore,

Cosec (cos-1 8/17) = 17/15

(vi) Given Sec (sin-1 12/13)

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 26

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 27

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 28

(vii) Given Tan (cos-1 8/17)

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 29

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 30

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 31

(viii) Given cot (cos-1 3/5)

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 32

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 33

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 34

(ix) Given Cos (tan-1 24/7)

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 35.

RD Sharma Solutions for Class 12 Maths Chapter 4 Inverse Trigonometric Functions Image 36

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

We have provided complete details of RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.8. If you have any queries related to CBSE Class 12 Exam, feel free to ask us in the comment section below.

FAQs on RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.8

How many questions are there in RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.8?

There are a total of 15 questions in RD Sharma Solutions for Class 12 Maths Chapter 4 Exercise 4.8.

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Yes, You can get RD Sharma Solutions Class 12 Maths Chapter 4 Exercise 4.8 for free.

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