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: 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)

(iii) Given Sin (tan^-1 24/7)

(iv) Given Sin (sec^-1 17/8)

(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)

(vii) Given Tan (cos^-1 8/17)

(viii) Given cot (cos^-1 3/5)

(ix) Given Cos (tan^-1 24/7)

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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 4.2
• 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 4.9
• 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

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