Q29 of 55 Page 35

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,

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