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Question
Find the principal value of the following:
`cot^-1(sqrt3)`
Solution
Let `cot^-1(sqrt3)=y`
Then,
`coty=sqrt3`
We know that the range of the principal value branch is (0, π).
Thus,
`coty-sqrt3=cot(pi/6)`
`=>y=pi/6in(0,pi)`
Hence, the principal value of `cot^-1(sqrt3) is pi/6.`
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