Students can Download Maths Chapter 2 Inverse Trigonometric Functions Ex 2.1 Questions and Answers, Notes Pdf, 2nd PUC Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

## Karnataka 2nd PUC Maths Question Bank Chapter 2 Inverse Trigonometric Functions Ex 2.1

### 2nd PUC Maths Inverse Trigonometric Functions NCERT Text Book Questions and Answers Ex 2.1

An online inverse function calculator allows you to find the inverse of the given functions with step-by-step calculations in a fraction of a second.

Find the principal values of the following

Question 1.

\(\sin ^{-1}\left(-\frac{1}{2}\right)\)

Answer:

Question 2.

\(\cos ^{-1}\left(\frac{\sqrt{3}}{2}\right)\)

Answer:

Question 3.

cosec^{1} (2)

Answer:

Question 4.

\(\tan ^{-1}(-\sqrt{3})\)

Answer:

Question 5.

\(\cos ^{-1}\left(-\frac{1}{2}\right)\)

Answer:

Question 6.

tan^{-1}(-1)

Answer:

Question 7.

\(\sec ^{-1}\left(\frac{2}{\sqrt{3}}\right)\)

Answer:

Question 8.

\(\cot ^{4}(\sqrt{3})\)

Answer:

Question 9.

\(\cos ^{2}\left(-\frac{1}{(\sqrt{2})}\right)\)

Answer:

Question 10.

\({ cosec }^{ -1 }\left( -\sqrt { 2 } \right) \)

Answer:

Find the values of the following:

Question 11.

\(\tan ^{-1}(1)+\cos ^{-1}\left(-\frac{1}{2}\right)+\sin ^{-1}\left(-\frac{1}{2}\right)\)

Answer:

Question 12.

\(\cos ^{-1}\left(\frac{1}{2}\right)+2 \sin ^{-1}\left(\frac{1}{2}\right)\)

Answer:

Question 13.

If sin^{-1} x = y, then

(A) \(0 \leq y \leq \pi\)

(B) \(-\frac{\pi}{2} \leq y \leq \frac{\pi}{2}\)

(C) \(\mathbf{0}<\mathbf{y}<\boldsymbol{\pi}\)

(D) \(-\frac{\pi}{2}<y<\frac{\pi}{2}\)

Answer:

Question 14.

\(\tan ^{-1} \sqrt{3}-\sec ^{-1}(-2) \text { is equal to }\)

(A) π

(B) \(-\frac{\pi}{3}\)

(C) \(\frac{\pi}{3}\)

(D) \(\frac{2 \pi}{3}\)

Answer