1.

Find the principal value of sec−1(2/√3).

Answer»

Let sec−1(2/√3)=y, then sec=2/√3=(π/6)
We know that the range of the principal value branch of sec−1 is [0,
π​]−{π/2}  and (π/6)=2/√3.
Therefore, the principal value of sec−1(2/√3) is 
π/6.



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