Exercise 4.1
Question 1
Find the principal value of each of the following:
(i)
Sol :
(ii)
Sol :
(iii)
Sol :
(iv)
Sol :
(v)
Sol :
(vi)
Sol :
Let
Therefore
We know that principal value of and
Therefore principle value of is
Question 2
(i)
Sol :
(ii)
Sol :
Question 3
Find the domain of each of the following functions:
(i)
Sol :
(ii)
(iii)
(iv)
Question 4
If , then find the value of
Question 5
If , find the value of