# NCERT Solutions for Class 12 Maths Chapter 2 Miscellaneous

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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 −1x.

#### Q 2) Find the value of

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

#### Q 5) Prove

Now, we will prove that:

Now, we have:

#### Q 7) Prove

Using (1) and (2), we have

#### Q 16) Solve , then x is equal to

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.