### Exercise 2.1

**Question 1. Find the principal values of the following :**

**Question 2. Cos ^{-1}(root 3/2)**

**Question 3. Cosec ^{-1}(2)**

**Question 4. tan ^{-1}(- root 3)**

**Question 5. Cos ^{-1}(-1/2)**

**Question 6. tan ^{-1}(-1)**

**Question 7. sec ^{-1}(2/root 3)**

**Question 8. cot ^{-1}(root 3)**

**Question 9. cos ^{-1}(-1/root 2)**

**Question 10. cosec ^{-1}(- root 2)**

**Question 11. tan ^{–1} (1) + cos^{–1} (-1/2) + sin^{-1} (-1/2)**

**Question 12. Cos ^{-1}(1/2) + 2Sin^{-1}(1/2)**

**Question 13. If sin ^{–1} x = y, then**

**Question 14. tan ^{-1} root (3) – sec^{–1} (–2) is equal to**

#### Exercise 2.2

**Question 1. Prove the Following **

**Question. Find the value of each of the expressions in Questions 16 to 18.**

#### Miscellaneous Exercise

**Question 1. Find the value of the following.**

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