** ** ** ** **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.

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**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 = Î¸

sin Î¸ = x

R.H.S. = sin^{-1} (3x
– 4x³)

= sin^{-1} (3 sin Î¸
– 4 sin³ Î¸)

= sin^{-1} (sin
3Î¸) [Since, sin 3Î¸ = 3 sin Î¸ – 4 sin³ Î¸]

= 3Î¸

= 3 sin^{-1} x

= L.H.S.

**Maths Class 12 Ex
2.2 Question 2.**

**Prove the
following.**

**Solution:**

Let cos^{-1} x = Î¸

x = cos Î¸

R.H.S. = cos^{-1} (4x³ – 3x)

= cos^{-1} (4
cos³Î¸ – 3 cos Î¸)

= cos^{-1} (cos
3Î¸) [∴ cos 3Î¸ = 4 cos³ Î¸ – 3 cos Î¸]

= 3Î¸

= 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 5.**

**Write the
following function in the simplest form.**

**Solution:**

Putting x = tan Î¸, we get Î¸ = tan

^{-1}x.

**Maths Class 12 Ex
2.2 Question 6.**

**Write the
following function in the simplest form.**

**Solution:**

Putting x = sec Î¸, we get Î¸ = sec

^{-1}x.

**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 10.**

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

**Solution:**

Putting x = a tan Î¸, we get

**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 Î¸, we get tan

^{-1}x = Î¸.

^{-1}3/5 = Î¸, then sin Î¸ = 3/5.