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Find the principal value of: tan^(-1)(-s...

Find the principal value of: `tan^(-1)(-sqrt(3))`

Text Solution

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Let, `tan^-1 (- sqrt3) = y`
Then, `tany = (pi/3)`
We know that the range of the principal value of `tan^-1x` is (`(pi/2)`, `(pi/2)`)
and `tan (-pi/3) = - sqrt3`
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