## Hello Students! 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**.

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**.

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

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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.**

**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 5.**

**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 7.**

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

**Solution:**

Putting x = a tan Î¸, we get

^{-1}3/5 = Î¸, then sin Î¸ = 3/5.

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