Looking for NCERT Solutions for Class 12 Maths Exercise 2.2? If yes then you are in the right place. Here we have provided you with the Question and Answers of Exercise 2.2. These solutions are written by expert teachers and are so accurate to rely on.

Chapter | 2. Inverse Trigonometric Functions |

Exercise | 2.2 |

Class | Twelve |

Subject | Maths |

Category | NCERT Solutions for Class 12 |

NCERT Solutions for Class 12 Maths are available online for students to use and refer to while studying for their exams. The solutions provide step-by-step explanations for each problem in the textbook, making it easy for students to understand the concepts. With Class 12 Maths NCERT Solutions, students can be sure that they are getting the most accurate and up-to-date information available. The solutions are regularly updated by experts in the field, so students can be confident that they are using the most current information.

## NCERT Solutions for Class 12 Maths Exercise 2.2

### Inverse Trigonometric Functions Solutions

**Q 1) Prove **

**Answer)** To prove:

Let *x* = sin*θ*. Then, sin^{-1} x = 0

We have,

R.H.S. =

**Q 2) Prove **

**Answer)**

To Prove

Let *x* = cos*θ*. Then, cos^{−1} *x* =*θ*.

We have,

**Q 3) Prove**

**Answer)**

**Q 4) Prove**

**Answer)**

Proved.

**Q 5)Write the following function in the simplest form:**

**Answer)**

**Q 6) Write the function in the simplest form:**

**Answer)**

**Q 7) Write the function in the simplest form:**

**Answer)**

**Q 8) Write the function in the simplest form:**

**Answer)**

**Q 9) Write the function in the simplest form:**

**Answer)**

**Q 10) Write the function in the simplest form:**

**Answer)**

**Q 11) Find the value of**

**Answer)**

**Q 12) Find the value of**

**Answer)**

**Q 13) Find the value of**

**Answer)**

Let *x* = tan *θ*. Then, *θ* = tan^{−1} *x*.

Let *y* = tan *Φ*. Then, *Φ* = tan^{−1} *y*.

**Q 14) If , then find the value of ***x*.

*x*.

**Answer)**

On squaring both sides, we get:

**Q 15) If , then find the value of ***x*.

*x*.

**Answer)**

**Q 16) Find the values of **

**Answer)**

We know that sin^{−1} (sin *x*) =* x* if , which is the principal value branch of sin^{−1}*x*.

**Q 17) Find the values of**

**Answer)**

We know that tan^{−1} (tan *x*) =* x* if , which is the principal value branch of tan^{−1}*x*.

Q 18) Find the values of

**Answer)**

**Q 19) Find the values of is equal to**

**Answer)** We know that cos^{−1} (cos *x*) =* x* if , which is the principal value branch of cos ^{−1}*x*.

The correct answer is B.

**Q 20) Find the values of is equal to**

**Answer)**

**Q 21) Find the values of is equal to**

**Answer)**

That’s it. These were the solutions of NCERT Class 12 Maths Exercise 2.2. Our team hopes that you have found these solutions helpful for you. If you have any doubt related to this chapter then feel free to comment your doubts below. Our team will try their best to help you with your doubts.