The value of the expression 2 sec–1 2 + sin–1 is
We have,
Principal value of sin-1 x is
Principal value of sec-1 x is [0, π]-
Let
So, … (1)
Let sec-1 2 = B
⇒ sec B = 2
So, 2 sec-1 2 = 2B
So, the value of from (1) and (2) is
So,