Evaluate each of the following:
The value of tan
= 1
∴ The question becomes tan–11
Let,
tan–11 = y
⇒ tan y = 1
⇒ tan
= 1
The range of the principal value of tan–1 is 
and tan
= 1.
∴ The value of tan–1(tan
) is 
.
3
Evaluate each of the following:
The value of tan = 1
∴ The question becomes tan–11
Let,
tan–11 = y
⇒ tan y = 1
⇒ tan = 1
The range of the principal value of tan–1 is and tan = 1.
∴ The value of tan–1(tan) is .