Chapter 3 Trigonometric Functions Ex 3.3

Question 1.
Find the principal values of the following :

Question 2.
Evaluate the following :

Solution:

Solution:

(iii) tan^-1√3 – sec^-1(-2)
Solution:

(iv) cosec^-1(−√2) + cot^-1(√3)
Solution:

Question 3.
Prove the following :

Solution:

Solution:

Solution:

Solution:

Solution:

= θ/2 …[∵ tan^-1(tanθ) = θ]
= RHS.