NCERT Solutions for Maths Class 12 Exercise 2.2

NCERT Solutions for Maths Class 12 Exercise 2.2

                                                                                                                  NCERT Solutions for Maths Class 12 Exercise 2.2


Hello Students! Welcome to maths-formula.com. In this post, you will find the complete NCERT Solutions for Maths Class 12 Exercise 2.2.

 

You can download the PDF of NCERT Books Maths Chapter 2 for your easy reference while studying NCERT Solutions for Maths Class 12 Exercise 2.2.

 

Class 12th is a very crucial stage of your student’s life, since you take all important decisions about your career on this stage. Mathematics plays a vital role to take decision for your career because if you are good in mathematics, you can choose engineering and technology field as your career.

 

NCERT Solutions for Maths Class 12 Exercise 2.2 helps you to solve each and every problem with step by step explanation which makes you strong in mathematics.

 

All the schools affiliated with CBSE, follow the NCERT books for all subjects. You can check your syllabus from NCERT Syllabus for Mathematics Class 12.

 

NCERT Solutions for Maths Class 12 Exercise 2.2 are prepared by the experienced teachers of CBSE board. If you are preparing for JEE Mains and NEET level exams, then it will definitely make your foundation strong.

 

If you want to recall All Maths Formulas for Class 12, you can find it by clicking this link.

If you want to recall All Maths Formulas for Class 11, you can find it by clicking this link.


NCERT Solutions for Maths Class 12 Exercise 2.1


NCERT Solutions for Maths Class 12 Exercise 2.2

 

Maths Class 12 Ex 2.2 Question 1.

Prove the following.


Solution:
Let sin-1 x = θ
sin θ = x

R.H.S. = sin-1 (3x – 4x³)
          = sin-1 (3 sin θ – 4 sin³ θ)
          = sin-1 (sin 3θ)                                        [
Since, sin 3θ = 3 sin θ – 4 sin³ θ]
          = 3θ
          = 3 sin-1 x
          = L.H.S.

Maths Class 12 Ex 2.2 Question 2.

Prove the following.


Solution:

Let cos-1 x = θ
x = cos θ
R.H.S. = cos-1 (4x³ – 3x)
          = cos-1 (4 cos³θ – 3 cos θ)
          = cos-1 (cos 3θ)                                        [
cos 3θ = 4 cos³ θ – 3 cos θ]
          = 3θ
          = 3 cos-1 x
          = L.H.S.

Maths Class 12 Ex 2.2 Question 3.

Prove the following.


Solution:


Maths Class 12 Ex 2.2 Question 4.

Prove the following.


Solution:


Maths Class 12 Ex 2.2 Question 5.

Write the following function in the simplest form.


Solution:
Putting x = tan θ, we get θ = tan-1 x.

Maths Class 12 Ex 2.2 Question 6.

Write the following function in the simplest form.


Solution:
Putting x = sec θ, we get θ = sec-1 x.

Maths Class 12 Ex 2.2 Question 7.

Write the following function in the simplest form.


Solution:

Maths Class 12 Ex 2.2 Question 8.

Write the following function in the simplest form.


Solution:
Dividing both numerator and denominator by cos x, we get


Maths Class 12 Ex 2.2 Question 9.

Write the following function in the simplest form.


Solution:
Putting x = a sin θ, we get x/a = sin θ.

Maths Class 12 Ex 2.2 Question 10.

Write the following function in the simplest form.
, a > 0; –a/√3 < x < a/√3


Solution:
Putting x = a tan θ, we get

Maths Class 12 Ex 2.2 Question 11.

Find the value of the following.


Solution:

Maths Class 12 Ex 2.2 Question 12.

Find the value of the following.

cot [tan-1 a + cot-1 a]

Solution:
Given cot [tan-1 a + cot-1 a]

Maths Class 12 Ex 2.2 Question 13.

Find the value of the following.

Solution:
Putting x = tan θ, we get tan-1 x = θ.

Maths Class 12 Ex 2.2 Question 14.

If, then find the value of x.

Solution:


Maths Class 12 Ex 2.2 Question 15.

If, then find the value of x.

Solution:


Maths Class 12 Ex 2.2 Question 16.

Find the value of the following expression.


Solution:

Maths Class 12 Ex 2.2 Question 17.

Find the value of the following expression.


Solution:

Maths Class 12 Ex 2.2 Question 18.

Find the value of the following expression.


Solution:
Let sin-1 3/5 = θ, then sin θ = 3/5.


Maths Class 12 Ex 2.2 Question 19.

is equal to
(A) 7π/6  
(B) 5π/6 
(C) π/3 
(D) π/6 

Solution:

Maths Class 12 Ex 2.2 Question 20.

is equal to
(A) 1/2
(B) 1/3
(C) 1/4
(D) 1

Solution:

Hence, option (d) is correct.

Maths Class 12 Ex 2.2 Question 21.

is equal to
(A) π
(B) –π/2

(C) 0
(D) 2√3

Solution:


Please do not enter any spam link in the comment box.

Post a Comment (0)
Previous Post Next Post