Looking for NCERT Solutions for Class 12 Maths Chapter 2 Miscellaneous? If yes then you are in the right place. Here we have provided you with the Question and Answers of Miscellaneous Chapter 2. These solutions are written by expert teachers and are so accurate to rely on.

Chapter | 2. Inverse Trigonometric Functions |

Exercise | Miscellaneous |

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 Chapter 2 Miscellaneous

### Inverse Trigonometric Functions Solutions

**Q 1) Find the value of**

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

**Q 2) Find the value of **

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

**Q 3) Prove**

**Answer)**

**Q 4) Prove**

**Answer)**

**Q 5) Prove **

**Answer)**

Now, we will prove that:

**Q 6) Prove **

**Answer)**

Now, we have:

**Q 7) Prove **

**Answer)**

Using (1) and (2), we have

**Q 8) Prove **

**Answer)**

**Q 9) Prove **

**Answer)**

**Q 10) Prove **

**Answer)**

**Q 11) Prove [Hint: put***x* = cos 2*θ*]

*x*= cos 2

*θ*]

**Answer) **

**Q 12) Prove **

**Answer)**

**Q 13) Solve **

**Answer)**

**Q 14) Solve **

**Answer)**

**Q 15) Solve is equal to**

**Answer)**

**Q 16) Solve , then ***x* is equal to

*x*is equal to

**Answer)**

Therefore, from equation (1), we have

Put *x* = sin *y*. Then, we have:

is not the solution of the given equation.

Thus, *x* = 0.

Hence, the correct answer is **C**.

**Q 17) Solve is equal to**

**Answer)**

Hence, the correct answer is **C**.

That’s it. These were the solutions of NCERT Class 12 Maths Chapter 2 Miscellaneous. 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.